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Finding the Fourth Proportional to 3,196.20, 4,798.14 and 2,044.20

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Solution

The fourth proportional to 3,196.20, 4,798.14 and 2,044.20 is: 3,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.20 : 4,798.14 = 2,044.20 : x
  2. Step 2: Convert to fraction form
    3,196.20/4,798.14 = 2,044.20/x
  3. Step 3: Cross multiply
    3,196.20x = 4,798.14 × 2,044.20
  4. Step 4: Simplify right side
    3,196.20x = 9,808,357.79
  5. Step 5: Solve for x
    x = 9,808,357.79/3,196.20
  6. Step 6: Final answer
    x = 3,068.76

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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.