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Finding the Fourth Proportional to 2,467.52, 3,405.20 and 1,348.49

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Solution

The fourth proportional to 2,467.52, 3,405.20 and 1,348.49 is: 1,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.52 : 3,405.20 = 1,348.49 : x
  2. Step 2: Convert to fraction form
    2,467.52/3,405.20 = 1,348.49/x
  3. Step 3: Cross multiply
    2,467.52x = 3,405.20 × 1,348.49
  4. Step 4: Simplify right side
    2,467.52x = 4,591,854.38
  5. Step 5: Solve for x
    x = 4,591,854.38/2,467.52
  6. Step 6: Final answer
    x = 1,860.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.