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Finding the Fourth Proportional to 1,986.32, 2,740.99 and 1,102.13

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Solution

The fourth proportional to 1,986.32, 2,740.99 and 1,102.13 is: 1,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.32 : 2,740.99 = 1,102.13 : x
  2. Step 2: Convert to fraction form
    1,986.32/2,740.99 = 1,102.13/x
  3. Step 3: Cross multiply
    1,986.32x = 2,740.99 × 1,102.13
  4. Step 4: Simplify right side
    1,986.32x = 3,020,930.90
  5. Step 5: Solve for x
    x = 3,020,930.90/1,986.32
  6. Step 6: Final answer
    x = 1,520.87

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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.