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Finding the Fourth Proportional to 2,778.90, 4,164.24 and 1,217.46

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Solution

The fourth proportional to 2,778.90, 4,164.24 and 1,217.46 is: 1,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.90 : 4,164.24 = 1,217.46 : x
  2. Step 2: Convert to fraction form
    2,778.90/4,164.24 = 1,217.46/x
  3. Step 3: Cross multiply
    2,778.90x = 4,164.24 × 1,217.46
  4. Step 4: Simplify right side
    2,778.90x = 5,069,795.63
  5. Step 5: Solve for x
    x = 5,069,795.63/2,778.90
  6. Step 6: Final answer
    x = 1,824.39

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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.