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Finding the Fourth Proportional to 2,231.48, 3,346.98 and 587.96

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Solution

The fourth proportional to 2,231.48, 3,346.98 and 587.96 is: 881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.48 : 3,346.98 = 587.96 : x
  2. Step 2: Convert to fraction form
    2,231.48/3,346.98 = 587.96/x
  3. Step 3: Cross multiply
    2,231.48x = 3,346.98 × 587.96
  4. Step 4: Simplify right side
    2,231.48x = 1,967,890.36
  5. Step 5: Solve for x
    x = 1,967,890.36/2,231.48
  6. Step 6: Final answer
    x = 881.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.