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Finding the Fourth Proportional to 2,919.57, 4,029.10 and 1,660.81

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Solution

The fourth proportional to 2,919.57, 4,029.10 and 1,660.81 is: 2,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.57 : 4,029.10 = 1,660.81 : x
  2. Step 2: Convert to fraction form
    2,919.57/4,029.10 = 1,660.81/x
  3. Step 3: Cross multiply
    2,919.57x = 4,029.10 × 1,660.81
  4. Step 4: Simplify right side
    2,919.57x = 6,691,555.35
  5. Step 5: Solve for x
    x = 6,691,555.35/2,919.57
  6. Step 6: Final answer
    x = 2,291.97

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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.