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Finding the Fourth Proportional to 2,231.60, 3,347.82 and 897.50

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Solution

The fourth proportional to 2,231.60, 3,347.82 and 897.50 is: 1,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.60 : 3,347.82 = 897.50 : x
  2. Step 2: Convert to fraction form
    2,231.60/3,347.82 = 897.50/x
  3. Step 3: Cross multiply
    2,231.60x = 3,347.82 × 897.50
  4. Step 4: Simplify right side
    2,231.60x = 3,004,654.54
  5. Step 5: Solve for x
    x = 3,004,654.54/2,231.60
  6. Step 6: Final answer
    x = 1,346.41

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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.