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Finding the Fourth Proportional to 2,295, 3,167.91 and 1,363.50

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Solution

The fourth proportional to 2,295, 3,167.91 and 1,363.50 is: 1,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295 : 3,167.91 = 1,363.50 : x
  2. Step 2: Convert to fraction form
    2,295/3,167.91 = 1,363.50/x
  3. Step 3: Cross multiply
    2,295x = 3,167.91 × 1,363.50
  4. Step 4: Simplify right side
    2,295x = 4,319,445.29
  5. Step 5: Solve for x
    x = 4,319,445.29/2,295
  6. Step 6: Final answer
    x = 1,882.11

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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.