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Finding the Fourth Proportional to 2,232.01, 3,348.06 and 588.58

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Solution

The fourth proportional to 2,232.01, 3,348.06 and 588.58 is: 882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.01 : 3,348.06 = 588.58 : x
  2. Step 2: Convert to fraction form
    2,232.01/3,348.06 = 588.58/x
  3. Step 3: Cross multiply
    2,232.01x = 3,348.06 × 588.58
  4. Step 4: Simplify right side
    2,232.01x = 1,970,601.15
  5. Step 5: Solve for x
    x = 1,970,601.15/2,232.01
  6. Step 6: Final answer
    x = 882.88

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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.