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Finding the Fourth Proportional to 3,117.67, 4,671.02 and 2,778.68

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Solution

The fourth proportional to 3,117.67, 4,671.02 and 2,778.68 is: 4,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.67 : 4,671.02 = 2,778.68 : x
  2. Step 2: Convert to fraction form
    3,117.67/4,671.02 = 2,778.68/x
  3. Step 3: Cross multiply
    3,117.67x = 4,671.02 × 2,778.68
  4. Step 4: Simplify right side
    3,117.67x = 12,979,288.48
  5. Step 5: Solve for x
    x = 12,979,288.48/3,117.67
  6. Step 6: Final answer
    x = 4,163.14

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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.