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Finding the Fourth Proportional to 1,321.32, 1,985.22 and 1,247.64

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Solution

The fourth proportional to 1,321.32, 1,985.22 and 1,247.64 is: 1,874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.32 : 1,985.22 = 1,247.64 : x
  2. Step 2: Convert to fraction form
    1,321.32/1,985.22 = 1,247.64/x
  3. Step 3: Cross multiply
    1,321.32x = 1,985.22 × 1,247.64
  4. Step 4: Simplify right side
    1,321.32x = 2,476,839.88
  5. Step 5: Solve for x
    x = 2,476,839.88/1,321.32
  6. Step 6: Final answer
    x = 1,874.52

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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.