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Finding the Fourth Proportional to 1,649.44, 2,470.82 and 1,374.65

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Solution

The fourth proportional to 1,649.44, 2,470.82 and 1,374.65 is: 2,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.44 : 2,470.82 = 1,374.65 : x
  2. Step 2: Convert to fraction form
    1,649.44/2,470.82 = 1,374.65/x
  3. Step 3: Cross multiply
    1,649.44x = 2,470.82 × 1,374.65
  4. Step 4: Simplify right side
    1,649.44x = 3,396,493.49
  5. Step 5: Solve for x
    x = 3,396,493.49/1,649.44
  6. Step 6: Final answer
    x = 2,059.18

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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.