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Finding the Fourth Proportional to 1,227.96, 1,833.45 and 1,054.38

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Solution

The fourth proportional to 1,227.96, 1,833.45 and 1,054.38 is: 1,574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.96 : 1,833.45 = 1,054.38 : x
  2. Step 2: Convert to fraction form
    1,227.96/1,833.45 = 1,054.38/x
  3. Step 3: Cross multiply
    1,227.96x = 1,833.45 × 1,054.38
  4. Step 4: Simplify right side
    1,227.96x = 1,933,153.01
  5. Step 5: Solve for x
    x = 1,933,153.01/1,227.96
  6. Step 6: Final answer
    x = 1,574.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.