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Finding the Fourth Proportional to 2,169.57, 3,254.87 and 937.33

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Solution

The fourth proportional to 2,169.57, 3,254.87 and 937.33 is: 1,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.57 : 3,254.87 = 937.33 : x
  2. Step 2: Convert to fraction form
    2,169.57/3,254.87 = 937.33/x
  3. Step 3: Cross multiply
    2,169.57x = 3,254.87 × 937.33
  4. Step 4: Simplify right side
    2,169.57x = 3,050,903.07
  5. Step 5: Solve for x
    x = 3,050,903.07/2,169.57
  6. Step 6: Final answer
    x = 1,406.22

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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.