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Finding the Fourth Proportional to 2,491.46, 3,734.53 and 1,320.73

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Solution

The fourth proportional to 2,491.46, 3,734.53 and 1,320.73 is: 1,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.46 : 3,734.53 = 1,320.73 : x
  2. Step 2: Convert to fraction form
    2,491.46/3,734.53 = 1,320.73/x
  3. Step 3: Cross multiply
    2,491.46x = 3,734.53 × 1,320.73
  4. Step 4: Simplify right side
    2,491.46x = 4,932,307.39
  5. Step 5: Solve for x
    x = 4,932,307.39/2,491.46
  6. Step 6: Final answer
    x = 1,979.69

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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.