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Finding the Fourth Proportional to 3,152.20, 4,728.19 and 812.11

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Solution

The fourth proportional to 3,152.20, 4,728.19 and 812.11 is: 1,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.20 : 4,728.19 = 812.11 : x
  2. Step 2: Convert to fraction form
    3,152.20/4,728.19 = 812.11/x
  3. Step 3: Cross multiply
    3,152.20x = 4,728.19 × 812.11
  4. Step 4: Simplify right side
    3,152.20x = 3,839,810.38
  5. Step 5: Solve for x
    x = 3,839,810.38/3,152.20
  6. Step 6: Final answer
    x = 1,218.14

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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.