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Finding the Fourth Proportional to 2,231.93, 3,347.82 and 588.48

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Solution

The fourth proportional to 2,231.93, 3,347.82 and 588.48 is: 882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.93 : 3,347.82 = 588.48 : x
  2. Step 2: Convert to fraction form
    2,231.93/3,347.82 = 588.48/x
  3. Step 3: Cross multiply
    2,231.93x = 3,347.82 × 588.48
  4. Step 4: Simplify right side
    2,231.93x = 1,970,125.11
  5. Step 5: Solve for x
    x = 1,970,125.11/2,231.93
  6. Step 6: Final answer
    x = 882.70

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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.