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Finding the Fourth Proportional to 2,491.07, 3,734.17 and 1,193.45

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Solution

The fourth proportional to 2,491.07, 3,734.17 and 1,193.45 is: 1,789.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.07 : 3,734.17 = 1,193.45 : x
  2. Step 2: Convert to fraction form
    2,491.07/3,734.17 = 1,193.45/x
  3. Step 3: Cross multiply
    2,491.07x = 3,734.17 × 1,193.45
  4. Step 4: Simplify right side
    2,491.07x = 4,456,523.53
  5. Step 5: Solve for x
    x = 4,456,523.53/2,491.07
  6. Step 6: Final answer
    x = 1,789.00

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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.