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Finding the Fourth Proportional to 2,866.94, 3,958.26 and 2,202.59

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Solution

The fourth proportional to 2,866.94, 3,958.26 and 2,202.59 is: 3,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.94 : 3,958.26 = 2,202.59 : x
  2. Step 2: Convert to fraction form
    2,866.94/3,958.26 = 2,202.59/x
  3. Step 3: Cross multiply
    2,866.94x = 3,958.26 × 2,202.59
  4. Step 4: Simplify right side
    2,866.94x = 8,718,423.89
  5. Step 5: Solve for x
    x = 8,718,423.89/2,866.94
  6. Step 6: Final answer
    x = 3,041.02

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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.