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Finding the Fourth Proportional to 2,010.90, 2,999.40 and 1,949.39

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Solution

The fourth proportional to 2,010.90, 2,999.40 and 1,949.39 is: 2,907.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.90 : 2,999.40 = 1,949.39 : x
  2. Step 2: Convert to fraction form
    2,010.90/2,999.40 = 1,949.39/x
  3. Step 3: Cross multiply
    2,010.90x = 2,999.40 × 1,949.39
  4. Step 4: Simplify right side
    2,010.90x = 5,847,001.85
  5. Step 5: Solve for x
    x = 5,847,001.85/2,010.90
  6. Step 6: Final answer
    x = 2,907.65

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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.