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Finding the Fourth Proportional to 3,034.66, 4,551.24 and 843.28

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Solution

The fourth proportional to 3,034.66, 4,551.24 and 843.28 is: 1,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.66 : 4,551.24 = 843.28 : x
  2. Step 2: Convert to fraction form
    3,034.66/4,551.24 = 843.28/x
  3. Step 3: Cross multiply
    3,034.66x = 4,551.24 × 843.28
  4. Step 4: Simplify right side
    3,034.66x = 3,837,969.67
  5. Step 5: Solve for x
    x = 3,837,969.67/3,034.66
  6. Step 6: Final answer
    x = 1,264.71

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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.