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Finding the Fourth Proportional to 2,531.86, 3,494.34 and 1,537.79

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Solution

The fourth proportional to 2,531.86, 3,494.34 and 1,537.79 is: 2,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.86 : 3,494.34 = 1,537.79 : x
  2. Step 2: Convert to fraction form
    2,531.86/3,494.34 = 1,537.79/x
  3. Step 3: Cross multiply
    2,531.86x = 3,494.34 × 1,537.79
  4. Step 4: Simplify right side
    2,531.86x = 5,373,543.64
  5. Step 5: Solve for x
    x = 5,373,543.64/2,531.86
  6. Step 6: Final answer
    x = 2,122.37

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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.