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Finding the Fourth Proportional to 2,509.66, 3,764.22 and 866.08

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Solution

The fourth proportional to 2,509.66, 3,764.22 and 866.08 is: 1,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.66 : 3,764.22 = 866.08 : x
  2. Step 2: Convert to fraction form
    2,509.66/3,764.22 = 866.08/x
  3. Step 3: Cross multiply
    2,509.66x = 3,764.22 × 866.08
  4. Step 4: Simplify right side
    2,509.66x = 3,260,115.66
  5. Step 5: Solve for x
    x = 3,260,115.66/2,509.66
  6. Step 6: Final answer
    x = 1,299.03

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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.