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Finding the Fourth Proportional to 3,137.80, 4,329.94 and 1,811.24

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Solution

The fourth proportional to 3,137.80, 4,329.94 and 1,811.24 is: 2,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.80 : 4,329.94 = 1,811.24 : x
  2. Step 2: Convert to fraction form
    3,137.80/4,329.94 = 1,811.24/x
  3. Step 3: Cross multiply
    3,137.80x = 4,329.94 × 1,811.24
  4. Step 4: Simplify right side
    3,137.80x = 7,842,560.53
  5. Step 5: Solve for x
    x = 7,842,560.53/3,137.80
  6. Step 6: Final answer
    x = 2,499.38

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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.