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Finding the Fourth Proportional to 1,382.41, 1,908.43 and 1,066.96

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Solution

The fourth proportional to 1,382.41, 1,908.43 and 1,066.96 is: 1,472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.41 : 1,908.43 = 1,066.96 : x
  2. Step 2: Convert to fraction form
    1,382.41/1,908.43 = 1,066.96/x
  3. Step 3: Cross multiply
    1,382.41x = 1,908.43 × 1,066.96
  4. Step 4: Simplify right side
    1,382.41x = 2,036,218.47
  5. Step 5: Solve for x
    x = 2,036,218.47/1,382.41
  6. Step 6: Final answer
    x = 1,472.95

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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.