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Finding the Fourth Proportional to 3,374.38, 4,657.21 and 2,048.97

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Solution

The fourth proportional to 3,374.38, 4,657.21 and 2,048.97 is: 2,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.38 : 4,657.21 = 2,048.97 : x
  2. Step 2: Convert to fraction form
    3,374.38/4,657.21 = 2,048.97/x
  3. Step 3: Cross multiply
    3,374.38x = 4,657.21 × 2,048.97
  4. Step 4: Simplify right side
    3,374.38x = 9,542,460.29
  5. Step 5: Solve for x
    x = 9,542,460.29/3,374.38
  6. Step 6: Final answer
    x = 2,827.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.