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Finding the Fourth Proportional to 2,024.04, 3,035.10 and 724.68

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Solution

The fourth proportional to 2,024.04, 3,035.10 and 724.68 is: 1,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.04 : 3,035.10 = 724.68 : x
  2. Step 2: Convert to fraction form
    2,024.04/3,035.10 = 724.68/x
  3. Step 3: Cross multiply
    2,024.04x = 3,035.10 × 724.68
  4. Step 4: Simplify right side
    2,024.04x = 2,199,476.27
  5. Step 5: Solve for x
    x = 2,199,476.27/2,024.04
  6. Step 6: Final answer
    x = 1,086.68

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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.