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Finding the Fourth Proportional to 2,778.69, 4,170.09 and 1,317.85

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Solution

The fourth proportional to 2,778.69, 4,170.09 and 1,317.85 is: 1,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.69 : 4,170.09 = 1,317.85 : x
  2. Step 2: Convert to fraction form
    2,778.69/4,170.09 = 1,317.85/x
  3. Step 3: Cross multiply
    2,778.69x = 4,170.09 × 1,317.85
  4. Step 4: Simplify right side
    2,778.69x = 5,495,525.67
  5. Step 5: Solve for x
    x = 5,495,525.67/2,778.69
  6. Step 6: Final answer
    x = 1,977.74

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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.