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Finding the Fourth Proportional to 1,247.40, 1,871.82 and 1,032.84

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Solution

The fourth proportional to 1,247.40, 1,871.82 and 1,032.84 is: 1,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.40 : 1,871.82 = 1,032.84 : x
  2. Step 2: Convert to fraction form
    1,247.40/1,871.82 = 1,032.84/x
  3. Step 3: Cross multiply
    1,247.40x = 1,871.82 × 1,032.84
  4. Step 4: Simplify right side
    1,247.40x = 1,933,290.57
  5. Step 5: Solve for x
    x = 1,933,290.57/1,247.40
  6. Step 6: Final answer
    x = 1,549.86

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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.