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Finding the Fourth Proportional to 1,986.76, 2,741.52 and 1,102.42

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Solution

The fourth proportional to 1,986.76, 2,741.52 and 1,102.42 is: 1,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.76 : 2,741.52 = 1,102.42 : x
  2. Step 2: Convert to fraction form
    1,986.76/2,741.52 = 1,102.42/x
  3. Step 3: Cross multiply
    1,986.76x = 2,741.52 × 1,102.42
  4. Step 4: Simplify right side
    1,986.76x = 3,022,306.48
  5. Step 5: Solve for x
    x = 3,022,306.48/1,986.76
  6. Step 6: Final answer
    x = 1,521.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.