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Finding the Fourth Proportional to 2,542.38, 3,507.98 and 1,835.30

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Solution

The fourth proportional to 2,542.38, 3,507.98 and 1,835.30 is: 2,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.38 : 3,507.98 = 1,835.30 : x
  2. Step 2: Convert to fraction form
    2,542.38/3,507.98 = 1,835.30/x
  3. Step 3: Cross multiply
    2,542.38x = 3,507.98 × 1,835.30
  4. Step 4: Simplify right side
    2,542.38x = 6,438,168.98
  5. Step 5: Solve for x
    x = 6,438,168.98/2,542.38
  6. Step 6: Final answer
    x = 2,532.34

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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.