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Finding the Fourth Proportional to 2,509.83, 3,765.17 and 866

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Solution

The fourth proportional to 2,509.83, 3,765.17 and 866 is: 1,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.83 : 3,765.17 = 866 : x
  2. Step 2: Convert to fraction form
    2,509.83/3,765.17 = 866/x
  3. Step 3: Cross multiply
    2,509.83x = 3,765.17 × 866
  4. Step 4: Simplify right side
    2,509.83x = 3,260,637.22
  5. Step 5: Solve for x
    x = 3,260,637.22/2,509.83
  6. Step 6: Final answer
    x = 1,299.15

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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.