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Finding the Fourth Proportional to 1,251.80, 1,734.79 and 1,234.19

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Solution

The fourth proportional to 1,251.80, 1,734.79 and 1,234.19 is: 1,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.80 : 1,734.79 = 1,234.19 : x
  2. Step 2: Convert to fraction form
    1,251.80/1,734.79 = 1,234.19/x
  3. Step 3: Cross multiply
    1,251.80x = 1,734.79 × 1,234.19
  4. Step 4: Simplify right side
    1,251.80x = 2,141,051.80
  5. Step 5: Solve for x
    x = 2,141,051.80/1,251.80
  6. Step 6: Final answer
    x = 1,710.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.