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Finding the Fourth Proportional to 2,990.44, 4,488 and 2,072.44

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Solution

The fourth proportional to 2,990.44, 4,488 and 2,072.44 is: 3,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.44 : 4,488 = 2,072.44 : x
  2. Step 2: Convert to fraction form
    2,990.44/4,488 = 2,072.44/x
  3. Step 3: Cross multiply
    2,990.44x = 4,488 × 2,072.44
  4. Step 4: Simplify right side
    2,990.44x = 9,301,110.72
  5. Step 5: Solve for x
    x = 9,301,110.72/2,990.44
  6. Step 6: Final answer
    x = 3,110.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.