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Finding the Fourth Proportional to 2,470.88, 3,707.28 and 932.96

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Solution

The fourth proportional to 2,470.88, 3,707.28 and 932.96 is: 1,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.88 : 3,707.28 = 932.96 : x
  2. Step 2: Convert to fraction form
    2,470.88/3,707.28 = 932.96/x
  3. Step 3: Cross multiply
    2,470.88x = 3,707.28 × 932.96
  4. Step 4: Simplify right side
    2,470.88x = 3,458,743.95
  5. Step 5: Solve for x
    x = 3,458,743.95/2,470.88
  6. Step 6: Final answer
    x = 1,399.80

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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.