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Finding the Fourth Proportional to 2,024.57, 3,037.05 and 563.74

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Solution

The fourth proportional to 2,024.57, 3,037.05 and 563.74 is: 845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.57 : 3,037.05 = 563.74 : x
  2. Step 2: Convert to fraction form
    2,024.57/3,037.05 = 563.74/x
  3. Step 3: Cross multiply
    2,024.57x = 3,037.05 × 563.74
  4. Step 4: Simplify right side
    2,024.57x = 1,712,098.97
  5. Step 5: Solve for x
    x = 1,712,098.97/2,024.57
  6. Step 6: Final answer
    x = 845.66

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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.