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Finding the Fourth Proportional to 2,595.78, 3,891.36 and 951.95

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Solution

The fourth proportional to 2,595.78, 3,891.36 and 951.95 is: 1,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.78 : 3,891.36 = 951.95 : x
  2. Step 2: Convert to fraction form
    2,595.78/3,891.36 = 951.95/x
  3. Step 3: Cross multiply
    2,595.78x = 3,891.36 × 951.95
  4. Step 4: Simplify right side
    2,595.78x = 3,704,375.29
  5. Step 5: Solve for x
    x = 3,704,375.29/2,595.78
  6. Step 6: Final answer
    x = 1,427.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.