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Finding the Fourth Proportional to 1,986.98, 2,742.04 and 1,102.82

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Solution

The fourth proportional to 1,986.98, 2,742.04 and 1,102.82 is: 1,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.98 : 2,742.04 = 1,102.82 : x
  2. Step 2: Convert to fraction form
    1,986.98/2,742.04 = 1,102.82/x
  3. Step 3: Cross multiply
    1,986.98x = 2,742.04 × 1,102.82
  4. Step 4: Simplify right side
    1,986.98x = 3,023,976.55
  5. Step 5: Solve for x
    x = 3,023,976.55/1,986.98
  6. Step 6: Final answer
    x = 1,521.90

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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.