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Finding the Fourth Proportional to 2,016.77, 2,783.22 and 1,132.79

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Solution

The fourth proportional to 2,016.77, 2,783.22 and 1,132.79 is: 1,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.77 : 2,783.22 = 1,132.79 : x
  2. Step 2: Convert to fraction form
    2,016.77/2,783.22 = 1,132.79/x
  3. Step 3: Cross multiply
    2,016.77x = 2,783.22 × 1,132.79
  4. Step 4: Simplify right side
    2,016.77x = 3,152,803.78
  5. Step 5: Solve for x
    x = 3,152,803.78/2,016.77
  6. Step 6: Final answer
    x = 1,563.29

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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.