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Finding the Fourth Proportional to 2,207.16, 3,311.12 and 746.32

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Solution

The fourth proportional to 2,207.16, 3,311.12 and 746.32 is: 1,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.16 : 3,311.12 = 746.32 : x
  2. Step 2: Convert to fraction form
    2,207.16/3,311.12 = 746.32/x
  3. Step 3: Cross multiply
    2,207.16x = 3,311.12 × 746.32
  4. Step 4: Simplify right side
    2,207.16x = 2,471,155.08
  5. Step 5: Solve for x
    x = 2,471,155.08/2,207.16
  6. Step 6: Final answer
    x = 1,119.61

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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.