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Finding the Fourth Proportional to 2,508.52, 3,763.31 and 1,582.99

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Solution

The fourth proportional to 2,508.52, 3,763.31 and 1,582.99 is: 2,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.52 : 3,763.31 = 1,582.99 : x
  2. Step 2: Convert to fraction form
    2,508.52/3,763.31 = 1,582.99/x
  3. Step 3: Cross multiply
    2,508.52x = 3,763.31 × 1,582.99
  4. Step 4: Simplify right side
    2,508.52x = 5,957,294.85
  5. Step 5: Solve for x
    x = 5,957,294.85/2,508.52
  6. Step 6: Final answer
    x = 2,374.83

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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.