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Finding the Fourth Proportional to 2,468.78, 3,702.28 and 824.88

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Solution

The fourth proportional to 2,468.78, 3,702.28 and 824.88 is: 1,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.78 : 3,702.28 = 824.88 : x
  2. Step 2: Convert to fraction form
    2,468.78/3,702.28 = 824.88/x
  3. Step 3: Cross multiply
    2,468.78x = 3,702.28 × 824.88
  4. Step 4: Simplify right side
    2,468.78x = 3,053,936.73
  5. Step 5: Solve for x
    x = 3,053,936.73/2,468.78
  6. Step 6: Final answer
    x = 1,237.02

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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.