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Finding the Fourth Proportional to 2,185.34, 3,278.03 and 798.66

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Solution

The fourth proportional to 2,185.34, 3,278.03 and 798.66 is: 1,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.34 : 3,278.03 = 798.66 : x
  2. Step 2: Convert to fraction form
    2,185.34/3,278.03 = 798.66/x
  3. Step 3: Cross multiply
    2,185.34x = 3,278.03 × 798.66
  4. Step 4: Simplify right side
    2,185.34x = 2,618,031.44
  5. Step 5: Solve for x
    x = 2,618,031.44/2,185.34
  6. Step 6: Final answer
    x = 1,198.00

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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.