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Finding the Fourth Proportional to 2,987.02, 4,121.90 and 1,660.66

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Solution

The fourth proportional to 2,987.02, 4,121.90 and 1,660.66 is: 2,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.02 : 4,121.90 = 1,660.66 : x
  2. Step 2: Convert to fraction form
    2,987.02/4,121.90 = 1,660.66/x
  3. Step 3: Cross multiply
    2,987.02x = 4,121.90 × 1,660.66
  4. Step 4: Simplify right side
    2,987.02x = 6,845,074.45
  5. Step 5: Solve for x
    x = 6,845,074.45/2,987.02
  6. Step 6: Final answer
    x = 2,291.61

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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.