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Finding the Fourth Proportional to 2,024.76, 3,037.14 and 563.81

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Solution

The fourth proportional to 2,024.76, 3,037.14 and 563.81 is: 845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.76 : 3,037.14 = 563.81 : x
  2. Step 2: Convert to fraction form
    2,024.76/3,037.14 = 563.81/x
  3. Step 3: Cross multiply
    2,024.76x = 3,037.14 × 563.81
  4. Step 4: Simplify right side
    2,024.76x = 1,712,354.72
  5. Step 5: Solve for x
    x = 1,712,354.72/2,024.76
  6. Step 6: Final answer
    x = 845.71

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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.