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Finding the Fourth Proportional to 2,462.25, 3,397.91 and 1,358.25

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Solution

The fourth proportional to 2,462.25, 3,397.91 and 1,358.25 is: 1,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.25 : 3,397.91 = 1,358.25 : x
  2. Step 2: Convert to fraction form
    2,462.25/3,397.91 = 1,358.25/x
  3. Step 3: Cross multiply
    2,462.25x = 3,397.91 × 1,358.25
  4. Step 4: Simplify right side
    2,462.25x = 4,615,211.26
  5. Step 5: Solve for x
    x = 4,615,211.26/2,462.25
  6. Step 6: Final answer
    x = 1,874.39

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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.