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Finding the Fourth Proportional to 2,327.87, 3,493.17 and 866.99

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Solution

The fourth proportional to 2,327.87, 3,493.17 and 866.99 is: 1,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.87 : 3,493.17 = 866.99 : x
  2. Step 2: Convert to fraction form
    2,327.87/3,493.17 = 866.99/x
  3. Step 3: Cross multiply
    2,327.87x = 3,493.17 × 866.99
  4. Step 4: Simplify right side
    2,327.87x = 3,028,543.46
  5. Step 5: Solve for x
    x = 3,028,543.46/2,327.87
  6. Step 6: Final answer
    x = 1,300.99

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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.