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Finding the Fourth Proportional to 2,062.16, 3,093.72 and 908.72

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Solution

The fourth proportional to 2,062.16, 3,093.72 and 908.72 is: 1,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.16 : 3,093.72 = 908.72 : x
  2. Step 2: Convert to fraction form
    2,062.16/3,093.72 = 908.72/x
  3. Step 3: Cross multiply
    2,062.16x = 3,093.72 × 908.72
  4. Step 4: Simplify right side
    2,062.16x = 2,811,325.24
  5. Step 5: Solve for x
    x = 2,811,325.24/2,062.16
  6. Step 6: Final answer
    x = 1,363.29

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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.