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Finding the Fourth Proportional to 2,184.66, 3,276.99 and 724.23

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Solution

The fourth proportional to 2,184.66, 3,276.99 and 724.23 is: 1,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.66 : 3,276.99 = 724.23 : x
  2. Step 2: Convert to fraction form
    2,184.66/3,276.99 = 724.23/x
  3. Step 3: Cross multiply
    2,184.66x = 3,276.99 × 724.23
  4. Step 4: Simplify right side
    2,184.66x = 2,373,294.47
  5. Step 5: Solve for x
    x = 2,373,294.47/2,184.66
  6. Step 6: Final answer
    x = 1,086.35

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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.