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Finding the Fourth Proportional to 2,617.62, 3,925.88 and 768.24

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Solution

The fourth proportional to 2,617.62, 3,925.88 and 768.24 is: 1,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.62 : 3,925.88 = 768.24 : x
  2. Step 2: Convert to fraction form
    2,617.62/3,925.88 = 768.24/x
  3. Step 3: Cross multiply
    2,617.62x = 3,925.88 × 768.24
  4. Step 4: Simplify right side
    2,617.62x = 3,016,018.05
  5. Step 5: Solve for x
    x = 3,016,018.05/2,617.62
  6. Step 6: Final answer
    x = 1,152.20

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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.