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Finding the Fourth Proportional to 2,392.74, 3,590.06 and 932.31

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Solution

The fourth proportional to 2,392.74, 3,590.06 and 932.31 is: 1,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.74 : 3,590.06 = 932.31 : x
  2. Step 2: Convert to fraction form
    2,392.74/3,590.06 = 932.31/x
  3. Step 3: Cross multiply
    2,392.74x = 3,590.06 × 932.31
  4. Step 4: Simplify right side
    2,392.74x = 3,347,044.18
  5. Step 5: Solve for x
    x = 3,347,044.18/2,392.74
  6. Step 6: Final answer
    x = 1,398.83

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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.