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Finding the Fourth Proportional to 1,639.06, 2,458.89 and 543.49

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Solution

The fourth proportional to 1,639.06, 2,458.89 and 543.49 is: 815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.06 : 2,458.89 = 543.49 : x
  2. Step 2: Convert to fraction form
    1,639.06/2,458.89 = 543.49/x
  3. Step 3: Cross multiply
    1,639.06x = 2,458.89 × 543.49
  4. Step 4: Simplify right side
    1,639.06x = 1,336,382.13
  5. Step 5: Solve for x
    x = 1,336,382.13/1,639.06
  6. Step 6: Final answer
    x = 815.33

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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.