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Finding the Fourth Proportional to 2,356.78, 3,251.40 and 1,361.86

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Solution

The fourth proportional to 2,356.78, 3,251.40 and 1,361.86 is: 1,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.78 : 3,251.40 = 1,361.86 : x
  2. Step 2: Convert to fraction form
    2,356.78/3,251.40 = 1,361.86/x
  3. Step 3: Cross multiply
    2,356.78x = 3,251.40 × 1,361.86
  4. Step 4: Simplify right side
    2,356.78x = 4,427,951.60
  5. Step 5: Solve for x
    x = 4,427,951.60/2,356.78
  6. Step 6: Final answer
    x = 1,878.81

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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.