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Finding the Fourth Proportional to 2,592.95, 3,891.38 and 949.91

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Solution

The fourth proportional to 2,592.95, 3,891.38 and 949.91 is: 1,425.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.95 : 3,891.38 = 949.91 : x
  2. Step 2: Convert to fraction form
    2,592.95/3,891.38 = 949.91/x
  3. Step 3: Cross multiply
    2,592.95x = 3,891.38 × 949.91
  4. Step 4: Simplify right side
    2,592.95x = 3,696,436.57
  5. Step 5: Solve for x
    x = 3,696,436.57/2,592.95
  6. Step 6: Final answer
    x = 1,425.57

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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.