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Finding the Fourth Proportional to 2,257.99, 3,377.87 and 1,953.23

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Solution

The fourth proportional to 2,257.99, 3,377.87 and 1,953.23 is: 2,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.99 : 3,377.87 = 1,953.23 : x
  2. Step 2: Convert to fraction form
    2,257.99/3,377.87 = 1,953.23/x
  3. Step 3: Cross multiply
    2,257.99x = 3,377.87 × 1,953.23
  4. Step 4: Simplify right side
    2,257.99x = 6,597,737.69
  5. Step 5: Solve for x
    x = 6,597,737.69/2,257.99
  6. Step 6: Final answer
    x = 2,921.95

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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.