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Finding the Fourth Proportional to 2,167.81, 3,251.71 and 524.35

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Solution

The fourth proportional to 2,167.81, 3,251.71 and 524.35 is: 786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.81 : 3,251.71 = 524.35 : x
  2. Step 2: Convert to fraction form
    2,167.81/3,251.71 = 524.35/x
  3. Step 3: Cross multiply
    2,167.81x = 3,251.71 × 524.35
  4. Step 4: Simplify right side
    2,167.81x = 1,705,034.14
  5. Step 5: Solve for x
    x = 1,705,034.14/2,167.81
  6. Step 6: Final answer
    x = 786.52

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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.