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Finding the Fourth Proportional to 2,232.01, 3,348.05 and 588.57

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Solution

The fourth proportional to 2,232.01, 3,348.05 and 588.57 is: 882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.01 : 3,348.05 = 588.57 : x
  2. Step 2: Convert to fraction form
    2,232.01/3,348.05 = 588.57/x
  3. Step 3: Cross multiply
    2,232.01x = 3,348.05 × 588.57
  4. Step 4: Simplify right side
    2,232.01x = 1,970,561.79
  5. Step 5: Solve for x
    x = 1,970,561.79/2,232.01
  6. Step 6: Final answer
    x = 882.86

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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.