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Finding the Fourth Proportional to 2,864.40, 3,960.24 and 1,986.78

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Solution

The fourth proportional to 2,864.40, 3,960.24 and 1,986.78 is: 2,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.40 : 3,960.24 = 1,986.78 : x
  2. Step 2: Convert to fraction form
    2,864.40/3,960.24 = 1,986.78/x
  3. Step 3: Cross multiply
    2,864.40x = 3,960.24 × 1,986.78
  4. Step 4: Simplify right side
    2,864.40x = 7,868,125.63
  5. Step 5: Solve for x
    x = 7,868,125.63/2,864.40
  6. Step 6: Final answer
    x = 2,746.87

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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.