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Finding the Fourth Proportional to 2,311.32, 3,467.03 and 1,078.40

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Solution

The fourth proportional to 2,311.32, 3,467.03 and 1,078.40 is: 1,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.32 : 3,467.03 = 1,078.40 : x
  2. Step 2: Convert to fraction form
    2,311.32/3,467.03 = 1,078.40/x
  3. Step 3: Cross multiply
    2,311.32x = 3,467.03 × 1,078.40
  4. Step 4: Simplify right side
    2,311.32x = 3,738,822.42
  5. Step 5: Solve for x
    x = 3,738,822.42/2,311.32
  6. Step 6: Final answer
    x = 1,617.61

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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.