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Finding the Fourth Proportional to 2,864.66, 3,944.40 and 2,508.53

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Solution

The fourth proportional to 2,864.66, 3,944.40 and 2,508.53 is: 3,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.66 : 3,944.40 = 2,508.53 : x
  2. Step 2: Convert to fraction form
    2,864.66/3,944.40 = 2,508.53/x
  3. Step 3: Cross multiply
    2,864.66x = 3,944.40 × 2,508.53
  4. Step 4: Simplify right side
    2,864.66x = 9,894,626.01
  5. Step 5: Solve for x
    x = 9,894,626.01/2,864.66
  6. Step 6: Final answer
    x = 3,454.04

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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.