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Finding the Fourth Proportional to 2,959.86, 4,442.40 and 1,229.70

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Solution

The fourth proportional to 2,959.86, 4,442.40 and 1,229.70 is: 1,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.86 : 4,442.40 = 1,229.70 : x
  2. Step 2: Convert to fraction form
    2,959.86/4,442.40 = 1,229.70/x
  3. Step 3: Cross multiply
    2,959.86x = 4,442.40 × 1,229.70
  4. Step 4: Simplify right side
    2,959.86x = 5,462,819.28
  5. Step 5: Solve for x
    x = 5,462,819.28/2,959.86
  6. Step 6: Final answer
    x = 1,845.63

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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.