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Finding the Fourth Proportional to 2,959.94, 4,436.82 and 1,204.19

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Solution

The fourth proportional to 2,959.94, 4,436.82 and 1,204.19 is: 1,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.94 : 4,436.82 = 1,204.19 : x
  2. Step 2: Convert to fraction form
    2,959.94/4,436.82 = 1,204.19/x
  3. Step 3: Cross multiply
    2,959.94x = 4,436.82 × 1,204.19
  4. Step 4: Simplify right side
    2,959.94x = 5,342,752.09
  5. Step 5: Solve for x
    x = 5,342,752.09/2,959.94
  6. Step 6: Final answer
    x = 1,805.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.