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Finding the Fourth Proportional to 1,762.37, 2,640.39 and 1,658.27

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Solution

The fourth proportional to 1,762.37, 2,640.39 and 1,658.27 is: 2,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.37 : 2,640.39 = 1,658.27 : x
  2. Step 2: Convert to fraction form
    1,762.37/2,640.39 = 1,658.27/x
  3. Step 3: Cross multiply
    1,762.37x = 2,640.39 × 1,658.27
  4. Step 4: Simplify right side
    1,762.37x = 4,378,479.53
  5. Step 5: Solve for x
    x = 4,378,479.53/1,762.37
  6. Step 6: Final answer
    x = 2,484.43

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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.