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Finding the Fourth Proportional to 2,959.78, 4,438.77 and 1,228

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Solution

The fourth proportional to 2,959.78, 4,438.77 and 1,228 is: 1,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.78 : 4,438.77 = 1,228 : x
  2. Step 2: Convert to fraction form
    2,959.78/4,438.77 = 1,228/x
  3. Step 3: Cross multiply
    2,959.78x = 4,438.77 × 1,228
  4. Step 4: Simplify right side
    2,959.78x = 5,450,809.56
  5. Step 5: Solve for x
    x = 5,450,809.56/2,959.78
  6. Step 6: Final answer
    x = 1,841.63

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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.