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Finding the Fourth Proportional to 1,234.40, 1,694.41 and 1,091.39

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Solution

The fourth proportional to 1,234.40, 1,694.41 and 1,091.39 is: 1,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.40 : 1,694.41 = 1,091.39 : x
  2. Step 2: Convert to fraction form
    1,234.40/1,694.41 = 1,091.39/x
  3. Step 3: Cross multiply
    1,234.40x = 1,694.41 × 1,091.39
  4. Step 4: Simplify right side
    1,234.40x = 1,849,257.23
  5. Step 5: Solve for x
    x = 1,849,257.23/1,234.40
  6. Step 6: Final answer
    x = 1,498.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.