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Finding the Fourth Proportional to 2,178.03, 3,267.30 and 696.73

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Solution

The fourth proportional to 2,178.03, 3,267.30 and 696.73 is: 1,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.03 : 3,267.30 = 696.73 : x
  2. Step 2: Convert to fraction form
    2,178.03/3,267.30 = 696.73/x
  3. Step 3: Cross multiply
    2,178.03x = 3,267.30 × 696.73
  4. Step 4: Simplify right side
    2,178.03x = 2,276,425.93
  5. Step 5: Solve for x
    x = 2,276,425.93/2,178.03
  6. Step 6: Final answer
    x = 1,045.18

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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.