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Finding the Fourth Proportional to 1,572.29, 2,358.53 and 921.66

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Solution

The fourth proportional to 1,572.29, 2,358.53 and 921.66 is: 1,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.29 : 2,358.53 = 921.66 : x
  2. Step 2: Convert to fraction form
    1,572.29/2,358.53 = 921.66/x
  3. Step 3: Cross multiply
    1,572.29x = 2,358.53 × 921.66
  4. Step 4: Simplify right side
    1,572.29x = 2,173,757.95
  5. Step 5: Solve for x
    x = 2,173,757.95/1,572.29
  6. Step 6: Final answer
    x = 1,382.54

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