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Finding the Fourth Proportional to 3,167.85, 4,367.48 and 2,283.87

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Solution

The fourth proportional to 3,167.85, 4,367.48 and 2,283.87 is: 3,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.85 : 4,367.48 = 2,283.87 : x
  2. Step 2: Convert to fraction form
    3,167.85/4,367.48 = 2,283.87/x
  3. Step 3: Cross multiply
    3,167.85x = 4,367.48 × 2,283.87
  4. Step 4: Simplify right side
    3,167.85x = 9,974,745.13
  5. Step 5: Solve for x
    x = 9,974,745.13/3,167.85
  6. Step 6: Final answer
    x = 3,148.74

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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.