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Finding the Fourth Proportional to 3,204.54, 4,806.27 and 895.50

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Solution

The fourth proportional to 3,204.54, 4,806.27 and 895.50 is: 1,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.54 : 4,806.27 = 895.50 : x
  2. Step 2: Convert to fraction form
    3,204.54/4,806.27 = 895.50/x
  3. Step 3: Cross multiply
    3,204.54x = 4,806.27 × 895.50
  4. Step 4: Simplify right side
    3,204.54x = 4,304,014.79
  5. Step 5: Solve for x
    x = 4,304,014.79/3,204.54
  6. Step 6: Final answer
    x = 1,343.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.