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Finding the Fourth Proportional to 2,975.57, 4,105.91 and 1,649.27

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Solution

The fourth proportional to 2,975.57, 4,105.91 and 1,649.27 is: 2,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.57 : 4,105.91 = 1,649.27 : x
  2. Step 2: Convert to fraction form
    2,975.57/4,105.91 = 1,649.27/x
  3. Step 3: Cross multiply
    2,975.57x = 4,105.91 × 1,649.27
  4. Step 4: Simplify right side
    2,975.57x = 6,771,737.78
  5. Step 5: Solve for x
    x = 6,771,737.78/2,975.57
  6. Step 6: Final answer
    x = 2,275.78

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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.