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Finding the Fourth Proportional to 2,024.70, 3,037.05 and 563.85

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Solution

The fourth proportional to 2,024.70, 3,037.05 and 563.85 is: 845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.70 : 3,037.05 = 563.85 : x
  2. Step 2: Convert to fraction form
    2,024.70/3,037.05 = 563.85/x
  3. Step 3: Cross multiply
    2,024.70x = 3,037.05 × 563.85
  4. Step 4: Simplify right side
    2,024.70x = 1,712,440.64
  5. Step 5: Solve for x
    x = 1,712,440.64/2,024.70
  6. Step 6: Final answer
    x = 845.78

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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.