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Finding the Fourth Proportional to 2,932.80, 4,397.14 and 1,470.96

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Solution

The fourth proportional to 2,932.80, 4,397.14 and 1,470.96 is: 2,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.80 : 4,397.14 = 1,470.96 : x
  2. Step 2: Convert to fraction form
    2,932.80/4,397.14 = 1,470.96/x
  3. Step 3: Cross multiply
    2,932.80x = 4,397.14 × 1,470.96
  4. Step 4: Simplify right side
    2,932.80x = 6,468,017.05
  5. Step 5: Solve for x
    x = 6,468,017.05/2,932.80
  6. Step 6: Final answer
    x = 2,205.41

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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.