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Finding the Fourth Proportional to 1,331.60, 1,995.24 and 1,167.44

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Solution

The fourth proportional to 1,331.60, 1,995.24 and 1,167.44 is: 1,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.60 : 1,995.24 = 1,167.44 : x
  2. Step 2: Convert to fraction form
    1,331.60/1,995.24 = 1,167.44/x
  3. Step 3: Cross multiply
    1,331.60x = 1,995.24 × 1,167.44
  4. Step 4: Simplify right side
    1,331.60x = 2,329,322.99
  5. Step 5: Solve for x
    x = 2,329,322.99/1,331.60
  6. Step 6: Final answer
    x = 1,749.27

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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.