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Finding the Fourth Proportional to 2,154.67, 3,232.15 and 856.13

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Solution

The fourth proportional to 2,154.67, 3,232.15 and 856.13 is: 1,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.67 : 3,232.15 = 856.13 : x
  2. Step 2: Convert to fraction form
    2,154.67/3,232.15 = 856.13/x
  3. Step 3: Cross multiply
    2,154.67x = 3,232.15 × 856.13
  4. Step 4: Simplify right side
    2,154.67x = 2,767,122.28
  5. Step 5: Solve for x
    x = 2,767,122.28/2,154.67
  6. Step 6: Final answer
    x = 1,284.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.