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Finding the Fourth Proportional to 2,257.16, 3,385.74 and 1,024.52

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Solution

The fourth proportional to 2,257.16, 3,385.74 and 1,024.52 is: 1,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.16 : 3,385.74 = 1,024.52 : x
  2. Step 2: Convert to fraction form
    2,257.16/3,385.74 = 1,024.52/x
  3. Step 3: Cross multiply
    2,257.16x = 3,385.74 × 1,024.52
  4. Step 4: Simplify right side
    2,257.16x = 3,468,758.34
  5. Step 5: Solve for x
    x = 3,468,758.34/2,257.16
  6. Step 6: Final answer
    x = 1,536.78

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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.