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Finding the Fourth Proportional to 2,864.34, 3,951.32 and 1,869.12

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Solution

The fourth proportional to 2,864.34, 3,951.32 and 1,869.12 is: 2,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.34 : 3,951.32 = 1,869.12 : x
  2. Step 2: Convert to fraction form
    2,864.34/3,951.32 = 1,869.12/x
  3. Step 3: Cross multiply
    2,864.34x = 3,951.32 × 1,869.12
  4. Step 4: Simplify right side
    2,864.34x = 7,385,481.89
  5. Step 5: Solve for x
    x = 7,385,481.89/2,864.34
  6. Step 6: Final answer
    x = 2,578.42

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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.