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Finding the Fourth Proportional to 2,976.06, 4,107.04 and 1,649.90

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Solution

The fourth proportional to 2,976.06, 4,107.04 and 1,649.90 is: 2,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.06 : 4,107.04 = 1,649.90 : x
  2. Step 2: Convert to fraction form
    2,976.06/4,107.04 = 1,649.90/x
  3. Step 3: Cross multiply
    2,976.06x = 4,107.04 × 1,649.90
  4. Step 4: Simplify right side
    2,976.06x = 6,776,205.30
  5. Step 5: Solve for x
    x = 6,776,205.30/2,976.06
  6. Step 6: Final answer
    x = 2,276.90

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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.