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Finding the Fourth Proportional to 1,986.62, 2,740.90 and 1,147.21

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Solution

The fourth proportional to 1,986.62, 2,740.90 and 1,147.21 is: 1,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.62 : 2,740.90 = 1,147.21 : x
  2. Step 2: Convert to fraction form
    1,986.62/2,740.90 = 1,147.21/x
  3. Step 3: Cross multiply
    1,986.62x = 2,740.90 × 1,147.21
  4. Step 4: Simplify right side
    1,986.62x = 3,144,387.89
  5. Step 5: Solve for x
    x = 3,144,387.89/1,986.62
  6. Step 6: Final answer
    x = 1,582.78

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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.