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Finding the Fourth Proportional to 1,562.16, 2,344.39 and 740.43

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Solution

The fourth proportional to 1,562.16, 2,344.39 and 740.43 is: 1,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.16 : 2,344.39 = 740.43 : x
  2. Step 2: Convert to fraction form
    1,562.16/2,344.39 = 740.43/x
  3. Step 3: Cross multiply
    1,562.16x = 2,344.39 × 740.43
  4. Step 4: Simplify right side
    1,562.16x = 1,735,862.39
  5. Step 5: Solve for x
    x = 1,735,862.39/1,562.16
  6. Step 6: Final answer
    x = 1,111.20

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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.