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Finding the Fourth Proportional to 1,554.82, 2,145.65 and 856.20

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Solution

The fourth proportional to 1,554.82, 2,145.65 and 856.20 is: 1,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.82 : 2,145.65 = 856.20 : x
  2. Step 2: Convert to fraction form
    1,554.82/2,145.65 = 856.20/x
  3. Step 3: Cross multiply
    1,554.82x = 2,145.65 × 856.20
  4. Step 4: Simplify right side
    1,554.82x = 1,837,097.21
  5. Step 5: Solve for x
    x = 1,837,097.21/1,554.82
  6. Step 6: Final answer
    x = 1,181.55

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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.