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Finding the Fourth Proportional to 2,867.26, 4,294.47 and 2,492.26

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Solution

The fourth proportional to 2,867.26, 4,294.47 and 2,492.26 is: 3,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.26 : 4,294.47 = 2,492.26 : x
  2. Step 2: Convert to fraction form
    2,867.26/4,294.47 = 2,492.26/x
  3. Step 3: Cross multiply
    2,867.26x = 4,294.47 × 2,492.26
  4. Step 4: Simplify right side
    2,867.26x = 10,702,935.80
  5. Step 5: Solve for x
    x = 10,702,935.80/2,867.26
  6. Step 6: Final answer
    x = 3,732.81

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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.