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Finding the Fourth Proportional to 1,833.57, 2,737.67 and 1,649.30

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Solution

The fourth proportional to 1,833.57, 2,737.67 and 1,649.30 is: 2,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.57 : 2,737.67 = 1,649.30 : x
  2. Step 2: Convert to fraction form
    1,833.57/2,737.67 = 1,649.30/x
  3. Step 3: Cross multiply
    1,833.57x = 2,737.67 × 1,649.30
  4. Step 4: Simplify right side
    1,833.57x = 4,515,217.20
  5. Step 5: Solve for x
    x = 4,515,217.20/1,833.57
  6. Step 6: Final answer
    x = 2,462.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.