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Finding the Fourth Proportional to 2,908.59, 4,013.83 and 1,649.88

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Solution

The fourth proportional to 2,908.59, 4,013.83 and 1,649.88 is: 2,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.59 : 4,013.83 = 1,649.88 : x
  2. Step 2: Convert to fraction form
    2,908.59/4,013.83 = 1,649.88/x
  3. Step 3: Cross multiply
    2,908.59x = 4,013.83 × 1,649.88
  4. Step 4: Simplify right side
    2,908.59x = 6,622,337.84
  5. Step 5: Solve for x
    x = 6,622,337.84/2,908.59
  6. Step 6: Final answer
    x = 2,276.82

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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.