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Finding the Fourth Proportional to 2,332.54, 3,517.52 and 2,301.27

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Solution

The fourth proportional to 2,332.54, 3,517.52 and 2,301.27 is: 3,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.54 : 3,517.52 = 2,301.27 : x
  2. Step 2: Convert to fraction form
    2,332.54/3,517.52 = 2,301.27/x
  3. Step 3: Cross multiply
    2,332.54x = 3,517.52 × 2,301.27
  4. Step 4: Simplify right side
    2,332.54x = 8,094,763.25
  5. Step 5: Solve for x
    x = 8,094,763.25/2,332.54
  6. Step 6: Final answer
    x = 3,470.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.