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Finding the Fourth Proportional to 2,908.40, 4,013.70 and 1,649.44

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Solution

The fourth proportional to 2,908.40, 4,013.70 and 1,649.44 is: 2,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.40 : 4,013.70 = 1,649.44 : x
  2. Step 2: Convert to fraction form
    2,908.40/4,013.70 = 1,649.44/x
  3. Step 3: Cross multiply
    2,908.40x = 4,013.70 × 1,649.44
  4. Step 4: Simplify right side
    2,908.40x = 6,620,329.01
  5. Step 5: Solve for x
    x = 6,620,329.01/2,908.40
  6. Step 6: Final answer
    x = 2,276.28

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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.