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Finding the Fourth Proportional to 2,294.16, 3,160.74 and 1,724.46

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Solution

The fourth proportional to 2,294.16, 3,160.74 and 1,724.46 is: 2,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.16 : 3,160.74 = 1,724.46 : x
  2. Step 2: Convert to fraction form
    2,294.16/3,160.74 = 1,724.46/x
  3. Step 3: Cross multiply
    2,294.16x = 3,160.74 × 1,724.46
  4. Step 4: Simplify right side
    2,294.16x = 5,450,569.70
  5. Step 5: Solve for x
    x = 5,450,569.70/2,294.16
  6. Step 6: Final answer
    x = 2,375.85

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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.