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Finding the Fourth Proportional to 2,980.39, 4,465.90 and 2,249.41

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Solution

The fourth proportional to 2,980.39, 4,465.90 and 2,249.41 is: 3,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.39 : 4,465.90 = 2,249.41 : x
  2. Step 2: Convert to fraction form
    2,980.39/4,465.90 = 2,249.41/x
  3. Step 3: Cross multiply
    2,980.39x = 4,465.90 × 2,249.41
  4. Step 4: Simplify right side
    2,980.39x = 10,045,640.12
  5. Step 5: Solve for x
    x = 10,045,640.12/2,980.39
  6. Step 6: Final answer
    x = 3,370.58

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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.