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Finding the Fourth Proportional to 3,118.40, 4,301.52 and 2,454.24

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Solution

The fourth proportional to 3,118.40, 4,301.52 and 2,454.24 is: 3,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.40 : 4,301.52 = 2,454.24 : x
  2. Step 2: Convert to fraction form
    3,118.40/4,301.52 = 2,454.24/x
  3. Step 3: Cross multiply
    3,118.40x = 4,301.52 × 2,454.24
  4. Step 4: Simplify right side
    3,118.40x = 10,556,962.44
  5. Step 5: Solve for x
    x = 10,556,962.44/3,118.40
  6. Step 6: Final answer
    x = 3,385.38

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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.