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Finding the Fourth Proportional to 3,256.78, 4,879.05 and 1,611.40

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Solution

The fourth proportional to 3,256.78, 4,879.05 and 1,611.40 is: 2,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.78 : 4,879.05 = 1,611.40 : x
  2. Step 2: Convert to fraction form
    3,256.78/4,879.05 = 1,611.40/x
  3. Step 3: Cross multiply
    3,256.78x = 4,879.05 × 1,611.40
  4. Step 4: Simplify right side
    3,256.78x = 7,862,101.17
  5. Step 5: Solve for x
    x = 7,862,101.17/3,256.78
  6. Step 6: Final answer
    x = 2,414.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.