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Finding the Fourth Proportional to 2,304.46, 3,180.84 and 2,186.88

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Solution

The fourth proportional to 2,304.46, 3,180.84 and 2,186.88 is: 3,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.46 : 3,180.84 = 2,186.88 : x
  2. Step 2: Convert to fraction form
    2,304.46/3,180.84 = 2,186.88/x
  3. Step 3: Cross multiply
    2,304.46x = 3,180.84 × 2,186.88
  4. Step 4: Simplify right side
    2,304.46x = 6,956,115.38
  5. Step 5: Solve for x
    x = 6,956,115.38/2,304.46
  6. Step 6: Final answer
    x = 3,018.54

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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.