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Finding the Fourth Proportional to 2,016.87, 2,783.60 and 1,132.95

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Solution

The fourth proportional to 2,016.87, 2,783.60 and 1,132.95 is: 1,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.87 : 2,783.60 = 1,132.95 : x
  2. Step 2: Convert to fraction form
    2,016.87/2,783.60 = 1,132.95/x
  3. Step 3: Cross multiply
    2,016.87x = 2,783.60 × 1,132.95
  4. Step 4: Simplify right side
    2,016.87x = 3,153,679.62
  5. Step 5: Solve for x
    x = 3,153,679.62/2,016.87
  6. Step 6: Final answer
    x = 1,563.65

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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.