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Finding the Fourth Proportional to 1,519.25, 2,273.72 and 963.70

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Solution

The fourth proportional to 1,519.25, 2,273.72 and 963.70 is: 1,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.25 : 2,273.72 = 963.70 : x
  2. Step 2: Convert to fraction form
    1,519.25/2,273.72 = 963.70/x
  3. Step 3: Cross multiply
    1,519.25x = 2,273.72 × 963.70
  4. Step 4: Simplify right side
    1,519.25x = 2,191,173.46
  5. Step 5: Solve for x
    x = 2,191,173.46/1,519.25
  6. Step 6: Final answer
    x = 1,442.27

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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.