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Finding the Fourth Proportional to 2,659.26, 3,989.00 and 810.44

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Solution

The fourth proportional to 2,659.26, 3,989.00 and 810.44 is: 1,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.26 : 3,989.00 = 810.44 : x
  2. Step 2: Convert to fraction form
    2,659.26/3,989.00 = 810.44/x
  3. Step 3: Cross multiply
    2,659.26x = 3,989.00 × 810.44
  4. Step 4: Simplify right side
    2,659.26x = 3,232,854.47
  5. Step 5: Solve for x
    x = 3,232,854.47/2,659.26
  6. Step 6: Final answer
    x = 1,215.70

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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.