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Finding the Fourth Proportional to 2,016.38, 3,025.41 and 846.60

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Solution

The fourth proportional to 2,016.38, 3,025.41 and 846.60 is: 1,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.38 : 3,025.41 = 846.60 : x
  2. Step 2: Convert to fraction form
    2,016.38/3,025.41 = 846.60/x
  3. Step 3: Cross multiply
    2,016.38x = 3,025.41 × 846.60
  4. Step 4: Simplify right side
    2,016.38x = 2,561,312.11
  5. Step 5: Solve for x
    x = 2,561,312.11/2,016.38
  6. Step 6: Final answer
    x = 1,270.25

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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.