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Finding the Fourth Proportional to 2,863.78, 4,291.83 and 2,356.90

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Solution

The fourth proportional to 2,863.78, 4,291.83 and 2,356.90 is: 3,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.78 : 4,291.83 = 2,356.90 : x
  2. Step 2: Convert to fraction form
    2,863.78/4,291.83 = 2,356.90/x
  3. Step 3: Cross multiply
    2,863.78x = 4,291.83 × 2,356.90
  4. Step 4: Simplify right side
    2,863.78x = 10,115,414.13
  5. Step 5: Solve for x
    x = 10,115,414.13/2,863.78
  6. Step 6: Final answer
    x = 3,532.19

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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.