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Finding the Fourth Proportional to 2,706, 4,034.40 and 2,540.76

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Solution

The fourth proportional to 2,706, 4,034.40 and 2,540.76 is: 3,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706 : 4,034.40 = 2,540.76 : x
  2. Step 2: Convert to fraction form
    2,706/4,034.40 = 2,540.76/x
  3. Step 3: Cross multiply
    2,706x = 4,034.40 × 2,540.76
  4. Step 4: Simplify right side
    2,706x = 10,250,442.14
  5. Step 5: Solve for x
    x = 10,250,442.14/2,706
  6. Step 6: Final answer
    x = 3,788.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.