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Finding the Fourth Proportional to 2,155.73, 3,233 and 595.37

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Solution

The fourth proportional to 2,155.73, 3,233 and 595.37 is: 892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.73 : 3,233 = 595.37 : x
  2. Step 2: Convert to fraction form
    2,155.73/3,233 = 595.37/x
  3. Step 3: Cross multiply
    2,155.73x = 3,233 × 595.37
  4. Step 4: Simplify right side
    2,155.73x = 1,924,831.21
  5. Step 5: Solve for x
    x = 1,924,831.21/2,155.73
  6. Step 6: Final answer
    x = 892.89

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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.