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Finding the Fourth Proportional to 2,232.90, 3,348.27 and 1,308.76

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Solution

The fourth proportional to 2,232.90, 3,348.27 and 1,308.76 is: 1,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.90 : 3,348.27 = 1,308.76 : x
  2. Step 2: Convert to fraction form
    2,232.90/3,348.27 = 1,308.76/x
  3. Step 3: Cross multiply
    2,232.90x = 3,348.27 × 1,308.76
  4. Step 4: Simplify right side
    2,232.90x = 4,382,073.47
  5. Step 5: Solve for x
    x = 4,382,073.47/2,232.90
  6. Step 6: Final answer
    x = 1,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.