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Finding the Fourth Proportional to 2,959.20, 4,081.50 and 2,623.50

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Solution

The fourth proportional to 2,959.20, 4,081.50 and 2,623.50 is: 3,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.20 : 4,081.50 = 2,623.50 : x
  2. Step 2: Convert to fraction form
    2,959.20/4,081.50 = 2,623.50/x
  3. Step 3: Cross multiply
    2,959.20x = 4,081.50 × 2,623.50
  4. Step 4: Simplify right side
    2,959.20x = 10,707,815.25
  5. Step 5: Solve for x
    x = 10,707,815.25/2,959.20
  6. Step 6: Final answer
    x = 3,618.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.