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Finding the Fourth Proportional to 1,468.88, 2,204.24 and 1,332.24

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Solution

The fourth proportional to 1,468.88, 2,204.24 and 1,332.24 is: 1,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.88 : 2,204.24 = 1,332.24 : x
  2. Step 2: Convert to fraction form
    1,468.88/2,204.24 = 1,332.24/x
  3. Step 3: Cross multiply
    1,468.88x = 2,204.24 × 1,332.24
  4. Step 4: Simplify right side
    1,468.88x = 2,936,576.70
  5. Step 5: Solve for x
    x = 2,936,576.70/1,468.88
  6. Step 6: Final answer
    x = 1,999.19

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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.