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Finding the Fourth Proportional to 2,186.14, 3,277.99 and 724.50

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Solution

The fourth proportional to 2,186.14, 3,277.99 and 724.50 is: 1,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.14 : 3,277.99 = 724.50 : x
  2. Step 2: Convert to fraction form
    2,186.14/3,277.99 = 724.50/x
  3. Step 3: Cross multiply
    2,186.14x = 3,277.99 × 724.50
  4. Step 4: Simplify right side
    2,186.14x = 2,374,903.76
  5. Step 5: Solve for x
    x = 2,374,903.76/2,186.14
  6. Step 6: Final answer
    x = 1,086.35

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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.