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Finding the Fourth Proportional to 2,179.71, 3,007.67 and 1,432.24

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Solution

The fourth proportional to 2,179.71, 3,007.67 and 1,432.24 is: 1,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.71 : 3,007.67 = 1,432.24 : x
  2. Step 2: Convert to fraction form
    2,179.71/3,007.67 = 1,432.24/x
  3. Step 3: Cross multiply
    2,179.71x = 3,007.67 × 1,432.24
  4. Step 4: Simplify right side
    2,179.71x = 4,307,705.28
  5. Step 5: Solve for x
    x = 4,307,705.28/2,179.71
  6. Step 6: Final answer
    x = 1,976.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.