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Finding the Fourth Proportional to 2,024.67, 3,037.31 and 638.13

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Solution

The fourth proportional to 2,024.67, 3,037.31 and 638.13 is: 957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.67 : 3,037.31 = 638.13 : x
  2. Step 2: Convert to fraction form
    2,024.67/3,037.31 = 638.13/x
  3. Step 3: Cross multiply
    2,024.67x = 3,037.31 × 638.13
  4. Step 4: Simplify right side
    2,024.67x = 1,938,195.44
  5. Step 5: Solve for x
    x = 1,938,195.44/2,024.67
  6. Step 6: Final answer
    x = 957.29

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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.