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Finding the Fourth Proportional to 2,155.02, 3,231.89 and 768.18

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Solution

The fourth proportional to 2,155.02, 3,231.89 and 768.18 is: 1,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.02 : 3,231.89 = 768.18 : x
  2. Step 2: Convert to fraction form
    2,155.02/3,231.89 = 768.18/x
  3. Step 3: Cross multiply
    2,155.02x = 3,231.89 × 768.18
  4. Step 4: Simplify right side
    2,155.02x = 2,482,669.42
  5. Step 5: Solve for x
    x = 2,482,669.42/2,155.02
  6. Step 6: Final answer
    x = 1,152.04

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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.