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Finding the Fourth Proportional to 2,016.72, 3,025.41 and 784.11

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Solution

The fourth proportional to 2,016.72, 3,025.41 and 784.11 is: 1,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.72 : 3,025.41 = 784.11 : x
  2. Step 2: Convert to fraction form
    2,016.72/3,025.41 = 784.11/x
  3. Step 3: Cross multiply
    2,016.72x = 3,025.41 × 784.11
  4. Step 4: Simplify right side
    2,016.72x = 2,372,254.24
  5. Step 5: Solve for x
    x = 2,372,254.24/2,016.72
  6. Step 6: Final answer
    x = 1,176.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.