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Finding the Fourth Proportional to 2,091.78, 3,138.70 and 1,479.42

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Solution

The fourth proportional to 2,091.78, 3,138.70 and 1,479.42 is: 2,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.78 : 3,138.70 = 1,479.42 : x
  2. Step 2: Convert to fraction form
    2,091.78/3,138.70 = 1,479.42/x
  3. Step 3: Cross multiply
    2,091.78x = 3,138.70 × 1,479.42
  4. Step 4: Simplify right side
    2,091.78x = 4,643,455.55
  5. Step 5: Solve for x
    x = 4,643,455.55/2,091.78
  6. Step 6: Final answer
    x = 2,219.86

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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.