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Finding the Fourth Proportional to 2,016.78, 2,783.03 and 1,120.58

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Solution

The fourth proportional to 2,016.78, 2,783.03 and 1,120.58 is: 1,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.78 : 2,783.03 = 1,120.58 : x
  2. Step 2: Convert to fraction form
    2,016.78/2,783.03 = 1,120.58/x
  3. Step 3: Cross multiply
    2,016.78x = 2,783.03 × 1,120.58
  4. Step 4: Simplify right side
    2,016.78x = 3,118,588.24
  5. Step 5: Solve for x
    x = 3,118,588.24/2,016.78
  6. Step 6: Final answer
    x = 1,546.32

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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.