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Finding the Fourth Proportional to 1,293.29, 1,783.62 and 1,162.73

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Solution

The fourth proportional to 1,293.29, 1,783.62 and 1,162.73 is: 1,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.29 : 1,783.62 = 1,162.73 : x
  2. Step 2: Convert to fraction form
    1,293.29/1,783.62 = 1,162.73/x
  3. Step 3: Cross multiply
    1,293.29x = 1,783.62 × 1,162.73
  4. Step 4: Simplify right side
    1,293.29x = 2,073,868.48
  5. Step 5: Solve for x
    x = 2,073,868.48/1,293.29
  6. Step 6: Final answer
    x = 1,603.56

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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.