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Finding the Fourth Proportional to 2,491.88, 3,737.41 and 1,759.23

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Solution

The fourth proportional to 2,491.88, 3,737.41 and 1,759.23 is: 2,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.88 : 3,737.41 = 1,759.23 : x
  2. Step 2: Convert to fraction form
    2,491.88/3,737.41 = 1,759.23/x
  3. Step 3: Cross multiply
    2,491.88x = 3,737.41 × 1,759.23
  4. Step 4: Simplify right side
    2,491.88x = 6,574,959.40
  5. Step 5: Solve for x
    x = 6,574,959.40/2,491.88
  6. Step 6: Final answer
    x = 2,638.56

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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.