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Finding the Fourth Proportional to 2,262.38, 3,393.77 and 723.38

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Solution

The fourth proportional to 2,262.38, 3,393.77 and 723.38 is: 1,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.38 : 3,393.77 = 723.38 : x
  2. Step 2: Convert to fraction form
    2,262.38/3,393.77 = 723.38/x
  3. Step 3: Cross multiply
    2,262.38x = 3,393.77 × 723.38
  4. Step 4: Simplify right side
    2,262.38x = 2,454,964.76
  5. Step 5: Solve for x
    x = 2,454,964.76/2,262.38
  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.