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Finding the Fourth Proportional to 2,494.35, 3,737.43 and 1,762.38

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Solution

The fourth proportional to 2,494.35, 3,737.43 and 1,762.38 is: 2,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.35 : 3,737.43 = 1,762.38 : x
  2. Step 2: Convert to fraction form
    2,494.35/3,737.43 = 1,762.38/x
  3. Step 3: Cross multiply
    2,494.35x = 3,737.43 × 1,762.38
  4. Step 4: Simplify right side
    2,494.35x = 6,586,771.88
  5. Step 5: Solve for x
    x = 6,586,771.88/2,494.35
  6. Step 6: Final answer
    x = 2,640.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.