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Finding the Fourth Proportional to 3,050.50, 4,209.51 and 1,687.68

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Solution

The fourth proportional to 3,050.50, 4,209.51 and 1,687.68 is: 2,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.50 : 4,209.51 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    3,050.50/4,209.51 = 1,687.68/x
  3. Step 3: Cross multiply
    3,050.50x = 4,209.51 × 1,687.68
  4. Step 4: Simplify right side
    3,050.50x = 7,104,321.62
  5. Step 5: Solve for x
    x = 7,104,321.62/3,050.50
  6. Step 6: Final answer
    x = 2,328.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.