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Finding the Fourth Proportional to 2,604.42, 3,593.94 and 1,542.18

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Solution

The fourth proportional to 2,604.42, 3,593.94 and 1,542.18 is: 2,128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.42 : 3,593.94 = 1,542.18 : x
  2. Step 2: Convert to fraction form
    2,604.42/3,593.94 = 1,542.18/x
  3. Step 3: Cross multiply
    2,604.42x = 3,593.94 × 1,542.18
  4. Step 4: Simplify right side
    2,604.42x = 5,542,502.39
  5. Step 5: Solve for x
    x = 5,542,502.39/2,604.42
  6. Step 6: Final answer
    x = 2,128.11

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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.