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Finding the Fourth Proportional to 2,861.84, 4,287.71 and 2,506.48

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Solution

The fourth proportional to 2,861.84, 4,287.71 and 2,506.48 is: 3,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.84 : 4,287.71 = 2,506.48 : x
  2. Step 2: Convert to fraction form
    2,861.84/4,287.71 = 2,506.48/x
  3. Step 3: Cross multiply
    2,861.84x = 4,287.71 × 2,506.48
  4. Step 4: Simplify right side
    2,861.84x = 10,747,054.91
  5. Step 5: Solve for x
    x = 10,747,054.91/2,861.84
  6. Step 6: Final answer
    x = 3,755.30

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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.