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Finding the Fourth Proportional to 3,204.61, 4,806.51 and 864.79

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Solution

The fourth proportional to 3,204.61, 4,806.51 and 864.79 is: 1,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.61 : 4,806.51 = 864.79 : x
  2. Step 2: Convert to fraction form
    3,204.61/4,806.51 = 864.79/x
  3. Step 3: Cross multiply
    3,204.61x = 4,806.51 × 864.79
  4. Step 4: Simplify right side
    3,204.61x = 4,156,621.78
  5. Step 5: Solve for x
    x = 4,156,621.78/3,204.61
  6. Step 6: Final answer
    x = 1,297.08

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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.