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Finding the Fourth Proportional to 1,327.88, 1,988.17 and 1,002.26

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Solution

The fourth proportional to 1,327.88, 1,988.17 and 1,002.26 is: 1,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.88 : 1,988.17 = 1,002.26 : x
  2. Step 2: Convert to fraction form
    1,327.88/1,988.17 = 1,002.26/x
  3. Step 3: Cross multiply
    1,327.88x = 1,988.17 × 1,002.26
  4. Step 4: Simplify right side
    1,327.88x = 1,992,663.26
  5. Step 5: Solve for x
    x = 1,992,663.26/1,327.88
  6. Step 6: Final answer
    x = 1,500.64

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