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Finding the Fourth Proportional to 2,695, 4,042.50 and 871

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Solution

The fourth proportional to 2,695, 4,042.50 and 871 is: 1,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695 : 4,042.50 = 871 : x
  2. Step 2: Convert to fraction form
    2,695/4,042.50 = 871/x
  3. Step 3: Cross multiply
    2,695x = 4,042.50 × 871
  4. Step 4: Simplify right side
    2,695x = 3,521,017.50
  5. Step 5: Solve for x
    x = 3,521,017.50/2,695
  6. Step 6: Final answer
    x = 1,306.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.