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Finding the Fourth Proportional to 1,443.78, 1,993.26 and 1,111.56

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Solution

The fourth proportional to 1,443.78, 1,993.26 and 1,111.56 is: 1,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.78 : 1,993.26 = 1,111.56 : x
  2. Step 2: Convert to fraction form
    1,443.78/1,993.26 = 1,111.56/x
  3. Step 3: Cross multiply
    1,443.78x = 1,993.26 × 1,111.56
  4. Step 4: Simplify right side
    1,443.78x = 2,215,628.09
  5. Step 5: Solve for x
    x = 2,215,628.09/1,443.78
  6. Step 6: Final answer
    x = 1,534.60

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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.