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Finding the Fourth Proportional to 2,614.26, 3,921.50 and 666.52

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Solution

The fourth proportional to 2,614.26, 3,921.50 and 666.52 is: 999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.26 : 3,921.50 = 666.52 : x
  2. Step 2: Convert to fraction form
    2,614.26/3,921.50 = 666.52/x
  3. Step 3: Cross multiply
    2,614.26x = 3,921.50 × 666.52
  4. Step 4: Simplify right side
    2,614.26x = 2,613,750.04
  5. Step 5: Solve for x
    x = 2,613,750.04/2,614.26
  6. Step 6: Final answer
    x = 999.80

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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.