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Finding the Fourth Proportional to 2,919.80, 4,029.17 and 1,660.69

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Solution

The fourth proportional to 2,919.80, 4,029.17 and 1,660.69 is: 2,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.80 : 4,029.17 = 1,660.69 : x
  2. Step 2: Convert to fraction form
    2,919.80/4,029.17 = 1,660.69/x
  3. Step 3: Cross multiply
    2,919.80x = 4,029.17 × 1,660.69
  4. Step 4: Simplify right side
    2,919.80x = 6,691,173.88
  5. Step 5: Solve for x
    x = 6,691,173.88/2,919.80
  6. Step 6: Final answer
    x = 2,291.65

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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.