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Finding the Fourth Proportional to 2,987.86, 4,123.03 and 1,661.46

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Solution

The fourth proportional to 2,987.86, 4,123.03 and 1,661.46 is: 2,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.86 : 4,123.03 = 1,661.46 : x
  2. Step 2: Convert to fraction form
    2,987.86/4,123.03 = 1,661.46/x
  3. Step 3: Cross multiply
    2,987.86x = 4,123.03 × 1,661.46
  4. Step 4: Simplify right side
    2,987.86x = 6,850,251.44
  5. Step 5: Solve for x
    x = 6,850,251.44/2,987.86
  6. Step 6: Final answer
    x = 2,292.69

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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.