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Finding the Fourth Proportional to 2,382.06, 3,574.17 and 1,228.62

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Solution

The fourth proportional to 2,382.06, 3,574.17 and 1,228.62 is: 1,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.06 : 3,574.17 = 1,228.62 : x
  2. Step 2: Convert to fraction form
    2,382.06/3,574.17 = 1,228.62/x
  3. Step 3: Cross multiply
    2,382.06x = 3,574.17 × 1,228.62
  4. Step 4: Simplify right side
    2,382.06x = 4,391,296.75
  5. Step 5: Solve for x
    x = 4,391,296.75/2,382.06
  6. Step 6: Final answer
    x = 1,843.49

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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.