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Finding the Fourth Proportional to 1,986.69, 2,731.91 and 1,724.25

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Solution

The fourth proportional to 1,986.69, 2,731.91 and 1,724.25 is: 2,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.69 : 2,731.91 = 1,724.25 : x
  2. Step 2: Convert to fraction form
    1,986.69/2,731.91 = 1,724.25/x
  3. Step 3: Cross multiply
    1,986.69x = 2,731.91 × 1,724.25
  4. Step 4: Simplify right side
    1,986.69x = 4,710,487.20
  5. Step 5: Solve for x
    x = 4,710,487.20/1,986.69
  6. Step 6: Final answer
    x = 2,371.02

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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.