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Finding the Fourth Proportional to 2,987.82, 4,122.97 and 1,728.88

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Solution

The fourth proportional to 2,987.82, 4,122.97 and 1,728.88 is: 2,385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.82 : 4,122.97 = 1,728.88 : x
  2. Step 2: Convert to fraction form
    2,987.82/4,122.97 = 1,728.88/x
  3. Step 3: Cross multiply
    2,987.82x = 4,122.97 × 1,728.88
  4. Step 4: Simplify right side
    2,987.82x = 7,128,105.74
  5. Step 5: Solve for x
    x = 7,128,105.74/2,987.82
  6. Step 6: Final answer
    x = 2,385.72

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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.