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Finding the Fourth Proportional to 2,980.88, 4,468.17 and 1,338.20

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Solution

The fourth proportional to 2,980.88, 4,468.17 and 1,338.20 is: 2,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.88 : 4,468.17 = 1,338.20 : x
  2. Step 2: Convert to fraction form
    2,980.88/4,468.17 = 1,338.20/x
  3. Step 3: Cross multiply
    2,980.88x = 4,468.17 × 1,338.20
  4. Step 4: Simplify right side
    2,980.88x = 5,979,305.09
  5. Step 5: Solve for x
    x = 5,979,305.09/2,980.88
  6. Step 6: Final answer
    x = 2,005.89

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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.