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Finding the Fourth Proportional to 3,061.43, 4,592.16 and 752.93

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Solution

The fourth proportional to 3,061.43, 4,592.16 and 752.93 is: 1,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.43 : 4,592.16 = 752.93 : x
  2. Step 2: Convert to fraction form
    3,061.43/4,592.16 = 752.93/x
  3. Step 3: Cross multiply
    3,061.43x = 4,592.16 × 752.93
  4. Step 4: Simplify right side
    3,061.43x = 3,457,575.03
  5. Step 5: Solve for x
    x = 3,457,575.03/3,061.43
  6. Step 6: Final answer
    x = 1,129.40

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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.