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Finding the Fourth Proportional to 1,327.66, 1,995.54 and 1,296.47

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Solution

The fourth proportional to 1,327.66, 1,995.54 and 1,296.47 is: 1,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.66 : 1,995.54 = 1,296.47 : x
  2. Step 2: Convert to fraction form
    1,327.66/1,995.54 = 1,296.47/x
  3. Step 3: Cross multiply
    1,327.66x = 1,995.54 × 1,296.47
  4. Step 4: Simplify right side
    1,327.66x = 2,587,157.87
  5. Step 5: Solve for x
    x = 2,587,157.87/1,327.66
  6. Step 6: Final answer
    x = 1,948.66

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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.