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Finding the Fourth Proportional to 1,819.46, 2,728.79 and 723.53

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Solution

The fourth proportional to 1,819.46, 2,728.79 and 723.53 is: 1,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.46 : 2,728.79 = 723.53 : x
  2. Step 2: Convert to fraction form
    1,819.46/2,728.79 = 723.53/x
  3. Step 3: Cross multiply
    1,819.46x = 2,728.79 × 723.53
  4. Step 4: Simplify right side
    1,819.46x = 1,974,357.81
  5. Step 5: Solve for x
    x = 1,974,357.81/1,819.46
  6. Step 6: Final answer
    x = 1,085.13

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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.