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Finding the Fourth Proportional to 2,024.68, 3,037.12 and 638.12

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Solution

The fourth proportional to 2,024.68, 3,037.12 and 638.12 is: 957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.68 : 3,037.12 = 638.12 : x
  2. Step 2: Convert to fraction form
    2,024.68/3,037.12 = 638.12/x
  3. Step 3: Cross multiply
    2,024.68x = 3,037.12 × 638.12
  4. Step 4: Simplify right side
    2,024.68x = 1,938,055.36
  5. Step 5: Solve for x
    x = 1,938,055.36/2,024.68
  6. Step 6: Final answer
    x = 957.22

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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.