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Finding the Fourth Proportional to 2,184.81, 3,277.53 and 724.02

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Solution

The fourth proportional to 2,184.81, 3,277.53 and 724.02 is: 1,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.81 : 3,277.53 = 724.02 : x
  2. Step 2: Convert to fraction form
    2,184.81/3,277.53 = 724.02/x
  3. Step 3: Cross multiply
    2,184.81x = 3,277.53 × 724.02
  4. Step 4: Simplify right side
    2,184.81x = 2,372,997.27
  5. Step 5: Solve for x
    x = 2,372,997.27/2,184.81
  6. Step 6: Final answer
    x = 1,086.13

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