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Finding the Fourth Proportional to 2,659.73, 3,989.74 and 810.90

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Solution

The fourth proportional to 2,659.73, 3,989.74 and 810.90 is: 1,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.73 : 3,989.74 = 810.90 : x
  2. Step 2: Convert to fraction form
    2,659.73/3,989.74 = 810.90/x
  3. Step 3: Cross multiply
    2,659.73x = 3,989.74 × 810.90
  4. Step 4: Simplify right side
    2,659.73x = 3,235,280.17
  5. Step 5: Solve for x
    x = 3,235,280.17/2,659.73
  6. Step 6: Final answer
    x = 1,216.39

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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.