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Finding the Fourth Proportional to 3,120.96, 4,306.10 and 1,861.45

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Solution

The fourth proportional to 3,120.96, 4,306.10 and 1,861.45 is: 2,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.96 : 4,306.10 = 1,861.45 : x
  2. Step 2: Convert to fraction form
    3,120.96/4,306.10 = 1,861.45/x
  3. Step 3: Cross multiply
    3,120.96x = 4,306.10 × 1,861.45
  4. Step 4: Simplify right side
    3,120.96x = 8,015,569.77
  5. Step 5: Solve for x
    x = 8,015,569.77/3,120.96
  6. Step 6: Final answer
    x = 2,568.30

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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.