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Finding the Fourth Proportional to 1,843.38, 2,541.92 and 1,449.72

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Solution

The fourth proportional to 1,843.38, 2,541.92 and 1,449.72 is: 1,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.38 : 2,541.92 = 1,449.72 : x
  2. Step 2: Convert to fraction form
    1,843.38/2,541.92 = 1,449.72/x
  3. Step 3: Cross multiply
    1,843.38x = 2,541.92 × 1,449.72
  4. Step 4: Simplify right side
    1,843.38x = 3,685,065.01
  5. Step 5: Solve for x
    x = 3,685,065.01/1,843.38
  6. Step 6: Final answer
    x = 1,999.08

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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.