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Finding the Fourth Proportional to 2,645.19, 3,967.80 and 697.35

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Solution

The fourth proportional to 2,645.19, 3,967.80 and 697.35 is: 1,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.19 : 3,967.80 = 697.35 : x
  2. Step 2: Convert to fraction form
    2,645.19/3,967.80 = 697.35/x
  3. Step 3: Cross multiply
    2,645.19x = 3,967.80 × 697.35
  4. Step 4: Simplify right side
    2,645.19x = 2,766,945.33
  5. Step 5: Solve for x
    x = 2,766,945.33/2,645.19
  6. Step 6: Final answer
    x = 1,046.03

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