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Finding the Fourth Proportional to 2,251.44, 3,377.30 and 953.01

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Solution

The fourth proportional to 2,251.44, 3,377.30 and 953.01 is: 1,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.44 : 3,377.30 = 953.01 : x
  2. Step 2: Convert to fraction form
    2,251.44/3,377.30 = 953.01/x
  3. Step 3: Cross multiply
    2,251.44x = 3,377.30 × 953.01
  4. Step 4: Simplify right side
    2,251.44x = 3,218,595.91
  5. Step 5: Solve for x
    x = 3,218,595.91/2,251.44
  6. Step 6: Final answer
    x = 1,429.57

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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.