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Finding the Fourth Proportional to 2,976.31, 4,106.99 and 1,649.66

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Solution

The fourth proportional to 2,976.31, 4,106.99 and 1,649.66 is: 2,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.31 : 4,106.99 = 1,649.66 : x
  2. Step 2: Convert to fraction form
    2,976.31/4,106.99 = 1,649.66/x
  3. Step 3: Cross multiply
    2,976.31x = 4,106.99 × 1,649.66
  4. Step 4: Simplify right side
    2,976.31x = 6,775,128.88
  5. Step 5: Solve for x
    x = 6,775,128.88/2,976.31
  6. Step 6: Final answer
    x = 2,276.36

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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.