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Finding the Fourth Proportional to 2,987.78, 4,122.90 and 1,661.27

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Solution

The fourth proportional to 2,987.78, 4,122.90 and 1,661.27 is: 2,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.78 : 4,122.90 = 1,661.27 : x
  2. Step 2: Convert to fraction form
    2,987.78/4,122.90 = 1,661.27/x
  3. Step 3: Cross multiply
    2,987.78x = 4,122.90 × 1,661.27
  4. Step 4: Simplify right side
    2,987.78x = 6,849,229.47
  5. Step 5: Solve for x
    x = 6,849,229.47/2,987.78
  6. Step 6: Final answer
    x = 2,292.42

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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.