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Finding the Fourth Proportional to 2,509.14, 3,764.01 and 866.05

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Solution

The fourth proportional to 2,509.14, 3,764.01 and 866.05 is: 1,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.14 : 3,764.01 = 866.05 : x
  2. Step 2: Convert to fraction form
    2,509.14/3,764.01 = 866.05/x
  3. Step 3: Cross multiply
    2,509.14x = 3,764.01 × 866.05
  4. Step 4: Simplify right side
    2,509.14x = 3,259,820.86
  5. Step 5: Solve for x
    x = 3,259,820.86/2,509.14
  6. Step 6: Final answer
    x = 1,299.18

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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.