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Finding the Fourth Proportional to 2,998.44, 4,475.97 and 2,590.20

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Solution

The fourth proportional to 2,998.44, 4,475.97 and 2,590.20 is: 3,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.44 : 4,475.97 = 2,590.20 : x
  2. Step 2: Convert to fraction form
    2,998.44/4,475.97 = 2,590.20/x
  3. Step 3: Cross multiply
    2,998.44x = 4,475.97 × 2,590.20
  4. Step 4: Simplify right side
    2,998.44x = 11,593,657.49
  5. Step 5: Solve for x
    x = 11,593,657.49/2,998.44
  6. Step 6: Final answer
    x = 3,866.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.