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Finding the Fourth Proportional to 1,356.12, 1,872.47 and 1,198.93

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Solution

The fourth proportional to 1,356.12, 1,872.47 and 1,198.93 is: 1,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.12 : 1,872.47 = 1,198.93 : x
  2. Step 2: Convert to fraction form
    1,356.12/1,872.47 = 1,198.93/x
  3. Step 3: Cross multiply
    1,356.12x = 1,872.47 × 1,198.93
  4. Step 4: Simplify right side
    1,356.12x = 2,244,949.78
  5. Step 5: Solve for x
    x = 2,244,949.78/1,356.12
  6. Step 6: Final answer
    x = 1,655.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.