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Finding the Fourth Proportional to 2,064.86, 2,844.81 and 1,691.85

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Solution

The fourth proportional to 2,064.86, 2,844.81 and 1,691.85 is: 2,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.86 : 2,844.81 = 1,691.85 : x
  2. Step 2: Convert to fraction form
    2,064.86/2,844.81 = 1,691.85/x
  3. Step 3: Cross multiply
    2,064.86x = 2,844.81 × 1,691.85
  4. Step 4: Simplify right side
    2,064.86x = 4,812,991.80
  5. Step 5: Solve for x
    x = 4,812,991.80/2,064.86
  6. Step 6: Final answer
    x = 2,330.91

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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.