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Finding the Fourth Proportional to 2,351.52, 3,540.24 and 2,034

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Solution

The fourth proportional to 2,351.52, 3,540.24 and 2,034 is: 3,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.52 : 3,540.24 = 2,034 : x
  2. Step 2: Convert to fraction form
    2,351.52/3,540.24 = 2,034/x
  3. Step 3: Cross multiply
    2,351.52x = 3,540.24 × 2,034
  4. Step 4: Simplify right side
    2,351.52x = 7,200,848.16
  5. Step 5: Solve for x
    x = 7,200,848.16/2,351.52
  6. Step 6: Final answer
    x = 3,062.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.