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Finding the Fourth Proportional to 2,858.67, 3,948.66 and 2,203.61

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Solution

The fourth proportional to 2,858.67, 3,948.66 and 2,203.61 is: 3,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.67 : 3,948.66 = 2,203.61 : x
  2. Step 2: Convert to fraction form
    2,858.67/3,948.66 = 2,203.61/x
  3. Step 3: Cross multiply
    2,858.67x = 3,948.66 × 2,203.61
  4. Step 4: Simplify right side
    2,858.67x = 8,701,286.92
  5. Step 5: Solve for x
    x = 8,701,286.92/2,858.67
  6. Step 6: Final answer
    x = 3,043.82

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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.