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Finding the Fourth Proportional to 2,184.12, 3,277.02 and 798.20

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Solution

The fourth proportional to 2,184.12, 3,277.02 and 798.20 is: 1,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.12 : 3,277.02 = 798.20 : x
  2. Step 2: Convert to fraction form
    2,184.12/3,277.02 = 798.20/x
  3. Step 3: Cross multiply
    2,184.12x = 3,277.02 × 798.20
  4. Step 4: Simplify right side
    2,184.12x = 2,615,717.36
  5. Step 5: Solve for x
    x = 2,615,717.36/2,184.12
  6. Step 6: Final answer
    x = 1,197.61

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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.