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Finding the Fourth Proportional to 2,778.74, 4,170.15 and 1,317.89

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Solution

The fourth proportional to 2,778.74, 4,170.15 and 1,317.89 is: 1,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.74 : 4,170.15 = 1,317.89 : x
  2. Step 2: Convert to fraction form
    2,778.74/4,170.15 = 1,317.89/x
  3. Step 3: Cross multiply
    2,778.74x = 4,170.15 × 1,317.89
  4. Step 4: Simplify right side
    2,778.74x = 5,495,778.13
  5. Step 5: Solve for x
    x = 5,495,778.13/2,778.74
  6. Step 6: Final answer
    x = 1,977.80

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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.