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Finding the Fourth Proportional to 3,102.91, 4,650.31 and 2,667.13

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Solution

The fourth proportional to 3,102.91, 4,650.31 and 2,667.13 is: 3,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.91 : 4,650.31 = 2,667.13 : x
  2. Step 2: Convert to fraction form
    3,102.91/4,650.31 = 2,667.13/x
  3. Step 3: Cross multiply
    3,102.91x = 4,650.31 × 2,667.13
  4. Step 4: Simplify right side
    3,102.91x = 12,402,981.31
  5. Step 5: Solve for x
    x = 12,402,981.31/3,102.91
  6. Step 6: Final answer
    x = 3,997.21

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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.