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Finding the Fourth Proportional to 2,861.72, 4,286.57 and 1,470.81

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Solution

The fourth proportional to 2,861.72, 4,286.57 and 1,470.81 is: 2,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.72 : 4,286.57 = 1,470.81 : x
  2. Step 2: Convert to fraction form
    2,861.72/4,286.57 = 1,470.81/x
  3. Step 3: Cross multiply
    2,861.72x = 4,286.57 × 1,470.81
  4. Step 4: Simplify right side
    2,861.72x = 6,304,722.67
  5. Step 5: Solve for x
    x = 6,304,722.67/2,861.72
  6. Step 6: Final answer
    x = 2,203.13

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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.