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Finding the Fourth Proportional to 2,866.83, 3,954.72 and 2,366.55

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Solution

The fourth proportional to 2,866.83, 3,954.72 and 2,366.55 is: 3,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.83 : 3,954.72 = 2,366.55 : x
  2. Step 2: Convert to fraction form
    2,866.83/3,954.72 = 2,366.55/x
  3. Step 3: Cross multiply
    2,866.83x = 3,954.72 × 2,366.55
  4. Step 4: Simplify right side
    2,866.83x = 9,359,042.62
  5. Step 5: Solve for x
    x = 9,359,042.62/2,866.83
  6. Step 6: Final answer
    x = 3,264.60

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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.