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Finding the Fourth Proportional to 1,863.42, 2,565.08 and 1,611.24

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Solution

The fourth proportional to 1,863.42, 2,565.08 and 1,611.24 is: 2,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.42 : 2,565.08 = 1,611.24 : x
  2. Step 2: Convert to fraction form
    1,863.42/2,565.08 = 1,611.24/x
  3. Step 3: Cross multiply
    1,863.42x = 2,565.08 × 1,611.24
  4. Step 4: Simplify right side
    1,863.42x = 4,132,951.44
  5. Step 5: Solve for x
    x = 4,132,951.44/1,863.42
  6. Step 6: Final answer
    x = 2,217.94

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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.