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Finding the Fourth Proportional to 2,769.32, 4,150.16 and 1,468.18

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Solution

The fourth proportional to 2,769.32, 4,150.16 and 1,468.18 is: 2,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.32 : 4,150.16 = 1,468.18 : x
  2. Step 2: Convert to fraction form
    2,769.32/4,150.16 = 1,468.18/x
  3. Step 3: Cross multiply
    2,769.32x = 4,150.16 × 1,468.18
  4. Step 4: Simplify right side
    2,769.32x = 6,093,181.91
  5. Step 5: Solve for x
    x = 6,093,181.91/2,769.32
  6. Step 6: Final answer
    x = 2,200.24

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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.