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Finding the Fourth Proportional to 2,865.96, 3,957.30 and 2,304.63

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Solution

The fourth proportional to 2,865.96, 3,957.30 and 2,304.63 is: 3,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.96 : 3,957.30 = 2,304.63 : x
  2. Step 2: Convert to fraction form
    2,865.96/3,957.30 = 2,304.63/x
  3. Step 3: Cross multiply
    2,865.96x = 3,957.30 × 2,304.63
  4. Step 4: Simplify right side
    2,865.96x = 9,120,112.30
  5. Step 5: Solve for x
    x = 9,120,112.30/2,865.96
  6. Step 6: Final answer
    x = 3,182.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.