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Finding the Fourth Proportional to 2,295, 3,167.10 and 1,247.09

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Solution

The fourth proportional to 2,295, 3,167.10 and 1,247.09 is: 1,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295 : 3,167.10 = 1,247.09 : x
  2. Step 2: Convert to fraction form
    2,295/3,167.10 = 1,247.09/x
  3. Step 3: Cross multiply
    2,295x = 3,167.10 × 1,247.09
  4. Step 4: Simplify right side
    2,295x = 3,949,642.90
  5. Step 5: Solve for x
    x = 3,949,642.90/2,295
  6. Step 6: Final answer
    x = 1,720.98

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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.