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Finding the Fourth Proportional to 2,993.90, 4,131.37 and 1,649.45

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Solution

The fourth proportional to 2,993.90, 4,131.37 and 1,649.45 is: 2,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.90 : 4,131.37 = 1,649.45 : x
  2. Step 2: Convert to fraction form
    2,993.90/4,131.37 = 1,649.45/x
  3. Step 3: Cross multiply
    2,993.90x = 4,131.37 × 1,649.45
  4. Step 4: Simplify right side
    2,993.90x = 6,814,488.25
  5. Step 5: Solve for x
    x = 6,814,488.25/2,993.90
  6. Step 6: Final answer
    x = 2,276.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.