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Finding the Fourth Proportional to 2,114.70, 3,172.12 and 728.02

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Solution

The fourth proportional to 2,114.70, 3,172.12 and 728.02 is: 1,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.70 : 3,172.12 = 728.02 : x
  2. Step 2: Convert to fraction form
    2,114.70/3,172.12 = 728.02/x
  3. Step 3: Cross multiply
    2,114.70x = 3,172.12 × 728.02
  4. Step 4: Simplify right side
    2,114.70x = 2,309,366.80
  5. Step 5: Solve for x
    x = 2,309,366.80/2,114.70
  6. Step 6: Final answer
    x = 1,092.05

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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.