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Finding the Fourth Proportional to 1,816.01, 2,724.20 and 517.49

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Solution

The fourth proportional to 1,816.01, 2,724.20 and 517.49 is: 776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.01 : 2,724.20 = 517.49 : x
  2. Step 2: Convert to fraction form
    1,816.01/2,724.20 = 517.49/x
  3. Step 3: Cross multiply
    1,816.01x = 2,724.20 × 517.49
  4. Step 4: Simplify right side
    1,816.01x = 1,409,743.67
  5. Step 5: Solve for x
    x = 1,409,743.67/1,816.01
  6. Step 6: Final answer
    x = 776.29

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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.