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Finding the Fourth Proportional to 3,100.50, 4,266.14 and 2,992.77

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Solution

The fourth proportional to 3,100.50, 4,266.14 and 2,992.77 is: 4,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.50 : 4,266.14 = 2,992.77 : x
  2. Step 2: Convert to fraction form
    3,100.50/4,266.14 = 2,992.77/x
  3. Step 3: Cross multiply
    3,100.50x = 4,266.14 × 2,992.77
  4. Step 4: Simplify right side
    3,100.50x = 12,767,560.84
  5. Step 5: Solve for x
    x = 12,767,560.84/3,100.50
  6. Step 6: Final answer
    x = 4,117.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.