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Finding the Fourth Proportional to 2,864.24, 3,951.20 and 2,013.20

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Solution

The fourth proportional to 2,864.24, 3,951.20 and 2,013.20 is: 2,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.24 : 3,951.20 = 2,013.20 : x
  2. Step 2: Convert to fraction form
    2,864.24/3,951.20 = 2,013.20/x
  3. Step 3: Cross multiply
    2,864.24x = 3,951.20 × 2,013.20
  4. Step 4: Simplify right side
    2,864.24x = 7,954,555.84
  5. Step 5: Solve for x
    x = 7,954,555.84/2,864.24
  6. Step 6: Final answer
    x = 2,777.20

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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.