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Finding the Fourth Proportional to 1,278.18, 1,772.03 and 1,233.12

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Solution

The fourth proportional to 1,278.18, 1,772.03 and 1,233.12 is: 1,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.18 : 1,772.03 = 1,233.12 : x
  2. Step 2: Convert to fraction form
    1,278.18/1,772.03 = 1,233.12/x
  3. Step 3: Cross multiply
    1,278.18x = 1,772.03 × 1,233.12
  4. Step 4: Simplify right side
    1,278.18x = 2,185,128.43
  5. Step 5: Solve for x
    x = 2,185,128.43/1,278.18
  6. Step 6: Final answer
    x = 1,709.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.