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Finding the Fourth Proportional to 2,987.62, 4,122.84 and 1,661.44

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Solution

The fourth proportional to 2,987.62, 4,122.84 and 1,661.44 is: 2,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.62 : 4,122.84 = 1,661.44 : x
  2. Step 2: Convert to fraction form
    2,987.62/4,122.84 = 1,661.44/x
  3. Step 3: Cross multiply
    2,987.62x = 4,122.84 × 1,661.44
  4. Step 4: Simplify right side
    2,987.62x = 6,849,851.29
  5. Step 5: Solve for x
    x = 6,849,851.29/2,987.62
  6. Step 6: Final answer
    x = 2,292.75

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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.