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Finding the Fourth Proportional to 2,016.83, 2,783.17 and 1,132.61

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Solution

The fourth proportional to 2,016.83, 2,783.17 and 1,132.61 is: 1,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.83 : 2,783.17 = 1,132.61 : x
  2. Step 2: Convert to fraction form
    2,016.83/2,783.17 = 1,132.61/x
  3. Step 3: Cross multiply
    2,016.83x = 2,783.17 × 1,132.61
  4. Step 4: Simplify right side
    2,016.83x = 3,152,246.17
  5. Step 5: Solve for x
    x = 3,152,246.17/2,016.83
  6. Step 6: Final answer
    x = 1,562.97

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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.