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Finding the Fourth Proportional to 2,840.10, 3,866.78 and 2,831.32

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Solution

The fourth proportional to 2,840.10, 3,866.78 and 2,831.32 is: 3,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.10 : 3,866.78 = 2,831.32 : x
  2. Step 2: Convert to fraction form
    2,840.10/3,866.78 = 2,831.32/x
  3. Step 3: Cross multiply
    2,840.10x = 3,866.78 × 2,831.32
  4. Step 4: Simplify right side
    2,840.10x = 10,948,091.55
  5. Step 5: Solve for x
    x = 10,948,091.55/2,840.10
  6. Step 6: Final answer
    x = 3,854.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.