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Finding the Fourth Proportional to 2,246.71, 3,367.98 and 1,148.65

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Solution

The fourth proportional to 2,246.71, 3,367.98 and 1,148.65 is: 1,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.71 : 3,367.98 = 1,148.65 : x
  2. Step 2: Convert to fraction form
    2,246.71/3,367.98 = 1,148.65/x
  3. Step 3: Cross multiply
    2,246.71x = 3,367.98 × 1,148.65
  4. Step 4: Simplify right side
    2,246.71x = 3,868,630.23
  5. Step 5: Solve for x
    x = 3,868,630.23/2,246.71
  6. Step 6: Final answer
    x = 1,721.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.