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Finding the Fourth Proportional to 2,184.96, 3,277.80 and 724.20

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Solution

The fourth proportional to 2,184.96, 3,277.80 and 724.20 is: 1,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.96 : 3,277.80 = 724.20 : x
  2. Step 2: Convert to fraction form
    2,184.96/3,277.80 = 724.20/x
  3. Step 3: Cross multiply
    2,184.96x = 3,277.80 × 724.20
  4. Step 4: Simplify right side
    2,184.96x = 2,373,782.76
  5. Step 5: Solve for x
    x = 2,373,782.76/2,184.96
  6. Step 6: Final answer
    x = 1,086.42

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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.