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Finding the Fourth Proportional to 3,167.59, 4,371.74 and 2,284.59

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Solution

The fourth proportional to 3,167.59, 4,371.74 and 2,284.59 is: 3,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.59 : 4,371.74 = 2,284.59 : x
  2. Step 2: Convert to fraction form
    3,167.59/4,371.74 = 2,284.59/x
  3. Step 3: Cross multiply
    3,167.59x = 4,371.74 × 2,284.59
  4. Step 4: Simplify right side
    3,167.59x = 9,987,633.49
  5. Step 5: Solve for x
    x = 9,987,633.49/3,167.59
  6. Step 6: Final answer
    x = 3,153.07

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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.