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Finding the Fourth Proportional to 2,986.39, 4,121.31 and 1,660.29

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Solution

The fourth proportional to 2,986.39, 4,121.31 and 1,660.29 is: 2,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.39 : 4,121.31 = 1,660.29 : x
  2. Step 2: Convert to fraction form
    2,986.39/4,121.31 = 1,660.29/x
  3. Step 3: Cross multiply
    2,986.39x = 4,121.31 × 1,660.29
  4. Step 4: Simplify right side
    2,986.39x = 6,842,569.78
  5. Step 5: Solve for x
    x = 6,842,569.78/2,986.39
  6. Step 6: Final answer
    x = 2,291.25

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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.