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Finding the Fourth Proportional to 2,287.28, 3,432.08 and 901.62

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Solution

The fourth proportional to 2,287.28, 3,432.08 and 901.62 is: 1,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.28 : 3,432.08 = 901.62 : x
  2. Step 2: Convert to fraction form
    2,287.28/3,432.08 = 901.62/x
  3. Step 3: Cross multiply
    2,287.28x = 3,432.08 × 901.62
  4. Step 4: Simplify right side
    2,287.28x = 3,094,412.56
  5. Step 5: Solve for x
    x = 3,094,412.56/2,287.28
  6. Step 6: Final answer
    x = 1,352.88

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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.