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Finding the Fourth Proportional to 2,312.25, 3,190.97 and 1,264.38

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Solution

The fourth proportional to 2,312.25, 3,190.97 and 1,264.38 is: 1,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.25 : 3,190.97 = 1,264.38 : x
  2. Step 2: Convert to fraction form
    2,312.25/3,190.97 = 1,264.38/x
  3. Step 3: Cross multiply
    2,312.25x = 3,190.97 × 1,264.38
  4. Step 4: Simplify right side
    2,312.25x = 4,034,601.81
  5. Step 5: Solve for x
    x = 4,034,601.81/2,312.25
  6. Step 6: Final answer
    x = 1,744.88

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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.