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Finding the Fourth Proportional to 2,167.93, 3,251.92 and 524.49

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Solution

The fourth proportional to 2,167.93, 3,251.92 and 524.49 is: 786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.93 : 3,251.92 = 524.49 : x
  2. Step 2: Convert to fraction form
    2,167.93/3,251.92 = 524.49/x
  3. Step 3: Cross multiply
    2,167.93x = 3,251.92 × 524.49
  4. Step 4: Simplify right side
    2,167.93x = 1,705,599.52
  5. Step 5: Solve for x
    x = 1,705,599.52/2,167.93
  6. Step 6: Final answer
    x = 786.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.