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Finding the Fourth Proportional to 2,863.76, 3,948.30 and 1,853.68

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Solution

The fourth proportional to 2,863.76, 3,948.30 and 1,853.68 is: 2,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.76 : 3,948.30 = 1,853.68 : x
  2. Step 2: Convert to fraction form
    2,863.76/3,948.30 = 1,853.68/x
  3. Step 3: Cross multiply
    2,863.76x = 3,948.30 × 1,853.68
  4. Step 4: Simplify right side
    2,863.76x = 7,318,876.39
  5. Step 5: Solve for x
    x = 7,318,876.39/2,863.76
  6. Step 6: Final answer
    x = 2,555.69

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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.