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Finding the Fourth Proportional to 2,589.67, 3,574.16 and 1,542.34

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Solution

The fourth proportional to 2,589.67, 3,574.16 and 1,542.34 is: 2,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.67 : 3,574.16 = 1,542.34 : x
  2. Step 2: Convert to fraction form
    2,589.67/3,574.16 = 1,542.34/x
  3. Step 3: Cross multiply
    2,589.67x = 3,574.16 × 1,542.34
  4. Step 4: Simplify right side
    2,589.67x = 5,512,569.93
  5. Step 5: Solve for x
    x = 5,512,569.93/2,589.67
  6. Step 6: Final answer
    x = 2,128.68

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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.