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Finding the Fourth Proportional to 2,554.81, 3,834.90 and 2,264.17

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Solution

The fourth proportional to 2,554.81, 3,834.90 and 2,264.17 is: 3,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.81 : 3,834.90 = 2,264.17 : x
  2. Step 2: Convert to fraction form
    2,554.81/3,834.90 = 2,264.17/x
  3. Step 3: Cross multiply
    2,554.81x = 3,834.90 × 2,264.17
  4. Step 4: Simplify right side
    2,554.81x = 8,682,865.53
  5. Step 5: Solve for x
    x = 8,682,865.53/2,554.81
  6. Step 6: Final answer
    x = 3,398.63

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Why These Related Problems?

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