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Finding the Fourth Proportional to 2,663.28, 3,993.81 and 1,102.31

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Solution

The fourth proportional to 2,663.28, 3,993.81 and 1,102.31 is: 1,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.28 : 3,993.81 = 1,102.31 : x
  2. Step 2: Convert to fraction form
    2,663.28/3,993.81 = 1,102.31/x
  3. Step 3: Cross multiply
    2,663.28x = 3,993.81 × 1,102.31
  4. Step 4: Simplify right side
    2,663.28x = 4,402,407.58
  5. Step 5: Solve for x
    x = 4,402,407.58/2,663.28
  6. Step 6: Final answer
    x = 1,653.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.