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Finding the Fourth Proportional to 2,508.47, 3,763.92 and 1,398.72

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Solution

The fourth proportional to 2,508.47, 3,763.92 and 1,398.72 is: 2,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.47 : 3,763.92 = 1,398.72 : x
  2. Step 2: Convert to fraction form
    2,508.47/3,763.92 = 1,398.72/x
  3. Step 3: Cross multiply
    2,508.47x = 3,763.92 × 1,398.72
  4. Step 4: Simplify right side
    2,508.47x = 5,264,660.50
  5. Step 5: Solve for x
    x = 5,264,660.50/2,508.47
  6. Step 6: Final answer
    x = 2,098.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.