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Finding the Fourth Proportional to 2,304.28, 3,453.84 and 917.24

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Solution

The fourth proportional to 2,304.28, 3,453.84 and 917.24 is: 1,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.28 : 3,453.84 = 917.24 : x
  2. Step 2: Convert to fraction form
    2,304.28/3,453.84 = 917.24/x
  3. Step 3: Cross multiply
    2,304.28x = 3,453.84 × 917.24
  4. Step 4: Simplify right side
    2,304.28x = 3,168,000.20
  5. Step 5: Solve for x
    x = 3,168,000.20/2,304.28
  6. Step 6: Final answer
    x = 1,374.83

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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.