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Finding the Fourth Proportional to 2,233.68, 3,351 and 772.65

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Solution

The fourth proportional to 2,233.68, 3,351 and 772.65 is: 1,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.68 : 3,351 = 772.65 : x
  2. Step 2: Convert to fraction form
    2,233.68/3,351 = 772.65/x
  3. Step 3: Cross multiply
    2,233.68x = 3,351 × 772.65
  4. Step 4: Simplify right side
    2,233.68x = 2,589,150.15
  5. Step 5: Solve for x
    x = 2,589,150.15/2,233.68
  6. Step 6: Final answer
    x = 1,159.14

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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.