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Finding the Fourth Proportional to 2,167.16, 3,248.36 and 850.52

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Solution

The fourth proportional to 2,167.16, 3,248.36 and 850.52 is: 1,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.16 : 3,248.36 = 850.52 : x
  2. Step 2: Convert to fraction form
    2,167.16/3,248.36 = 850.52/x
  3. Step 3: Cross multiply
    2,167.16x = 3,248.36 × 850.52
  4. Step 4: Simplify right side
    2,167.16x = 2,762,774.65
  5. Step 5: Solve for x
    x = 2,762,774.65/2,167.16
  6. Step 6: Final answer
    x = 1,274.84

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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.