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Finding the Fourth Proportional to 2,645.11, 3,967.60 and 697.31

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Solution

The fourth proportional to 2,645.11, 3,967.60 and 697.31 is: 1,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.11 : 3,967.60 = 697.31 : x
  2. Step 2: Convert to fraction form
    2,645.11/3,967.60 = 697.31/x
  3. Step 3: Cross multiply
    2,645.11x = 3,967.60 × 697.31
  4. Step 4: Simplify right side
    2,645.11x = 2,766,647.16
  5. Step 5: Solve for x
    x = 2,766,647.16/2,645.11
  6. Step 6: Final answer
    x = 1,045.95

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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.