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Finding the Fourth Proportional to 3,166.74, 4,371.71 and 2,284.65

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Solution

The fourth proportional to 3,166.74, 4,371.71 and 2,284.65 is: 3,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.74 : 4,371.71 = 2,284.65 : x
  2. Step 2: Convert to fraction form
    3,166.74/4,371.71 = 2,284.65/x
  3. Step 3: Cross multiply
    3,166.74x = 4,371.71 × 2,284.65
  4. Step 4: Simplify right side
    3,166.74x = 9,987,815.83
  5. Step 5: Solve for x
    x = 9,987,815.83/3,166.74
  6. Step 6: Final answer
    x = 3,153.97

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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.