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Finding the Fourth Proportional to 3,114.05, 4,297.76 and 1,855.61

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Solution

The fourth proportional to 3,114.05, 4,297.76 and 1,855.61 is: 2,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.05 : 4,297.76 = 1,855.61 : x
  2. Step 2: Convert to fraction form
    3,114.05/4,297.76 = 1,855.61/x
  3. Step 3: Cross multiply
    3,114.05x = 4,297.76 × 1,855.61
  4. Step 4: Simplify right side
    3,114.05x = 7,974,958.74
  5. Step 5: Solve for x
    x = 7,974,958.74/3,114.05
  6. Step 6: Final answer
    x = 2,560.96

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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.