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Finding the Fourth Proportional to 2,135.75, 3,203.25 and 575.86

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Solution

The fourth proportional to 2,135.75, 3,203.25 and 575.86 is: 863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.75 : 3,203.25 = 575.86 : x
  2. Step 2: Convert to fraction form
    2,135.75/3,203.25 = 575.86/x
  3. Step 3: Cross multiply
    2,135.75x = 3,203.25 × 575.86
  4. Step 4: Simplify right side
    2,135.75x = 1,844,623.55
  5. Step 5: Solve for x
    x = 1,844,623.55/2,135.75
  6. Step 6: Final answer
    x = 863.69

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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.