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Finding the Fourth Proportional to 1,554.75, 2,145.56 and 856.26

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Solution

The fourth proportional to 1,554.75, 2,145.56 and 856.26 is: 1,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.75 : 2,145.56 = 856.26 : x
  2. Step 2: Convert to fraction form
    1,554.75/2,145.56 = 856.26/x
  3. Step 3: Cross multiply
    1,554.75x = 2,145.56 × 856.26
  4. Step 4: Simplify right side
    1,554.75x = 1,837,152.92
  5. Step 5: Solve for x
    x = 1,837,152.92/1,554.75
  6. Step 6: Final answer
    x = 1,181.64

Related Problems

Find fourth proportional to 777.38, 1,072.78 and 428.13
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.