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Finding the Fourth Proportional to 1,722.12, 2,376.12 and 1,049.76

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Solution

The fourth proportional to 1,722.12, 2,376.12 and 1,049.76 is: 1,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.12 : 2,376.12 = 1,049.76 : x
  2. Step 2: Convert to fraction form
    1,722.12/2,376.12 = 1,049.76/x
  3. Step 3: Cross multiply
    1,722.12x = 2,376.12 × 1,049.76
  4. Step 4: Simplify right side
    1,722.12x = 2,494,355.73
  5. Step 5: Solve for x
    x = 2,494,355.73/1,722.12
  6. Step 6: Final answer
    x = 1,448.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.