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Finding the Fourth Proportional to 2,024.68, 3,035.04 and 1,037.48

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Solution

The fourth proportional to 2,024.68, 3,035.04 and 1,037.48 is: 1,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.68 : 3,035.04 = 1,037.48 : x
  2. Step 2: Convert to fraction form
    2,024.68/3,035.04 = 1,037.48/x
  3. Step 3: Cross multiply
    2,024.68x = 3,035.04 × 1,037.48
  4. Step 4: Simplify right side
    2,024.68x = 3,148,793.30
  5. Step 5: Solve for x
    x = 3,148,793.30/2,024.68
  6. Step 6: Final answer
    x = 1,555.21

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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.