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Finding the Fourth Proportional to 2,617.39, 3,612 and 1,438.55

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Solution

The fourth proportional to 2,617.39, 3,612 and 1,438.55 is: 1,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.39 : 3,612 = 1,438.55 : x
  2. Step 2: Convert to fraction form
    2,617.39/3,612 = 1,438.55/x
  3. Step 3: Cross multiply
    2,617.39x = 3,612 × 1,438.55
  4. Step 4: Simplify right side
    2,617.39x = 5,196,033.57
  5. Step 5: Solve for x
    x = 5,196,033.57/2,617.39
  6. Step 6: Final answer
    x = 1,985.20

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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.