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Finding the Fourth Proportional to 2,524.67, 3,486.97 and 1,684

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Solution

The fourth proportional to 2,524.67, 3,486.97 and 1,684 is: 2,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.67 : 3,486.97 = 1,684 : x
  2. Step 2: Convert to fraction form
    2,524.67/3,486.97 = 1,684/x
  3. Step 3: Cross multiply
    2,524.67x = 3,486.97 × 1,684
  4. Step 4: Simplify right side
    2,524.67x = 5,872,057.48
  5. Step 5: Solve for x
    x = 5,872,057.48/2,524.67
  6. Step 6: Final answer
    x = 2,325.87

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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.