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Finding the Fourth Proportional to 2,468.28, 3,702.48 and 737.04

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Solution

The fourth proportional to 2,468.28, 3,702.48 and 737.04 is: 1,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.28 : 3,702.48 = 737.04 : x
  2. Step 2: Convert to fraction form
    2,468.28/3,702.48 = 737.04/x
  3. Step 3: Cross multiply
    2,468.28x = 3,702.48 × 737.04
  4. Step 4: Simplify right side
    2,468.28x = 2,728,875.86
  5. Step 5: Solve for x
    x = 2,728,875.86/2,468.28
  6. Step 6: Final answer
    x = 1,105.58

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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.