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Finding the Fourth Proportional to 2,236.14, 3,353.90 and 592.83

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Solution

The fourth proportional to 2,236.14, 3,353.90 and 592.83 is: 889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.14 : 3,353.90 = 592.83 : x
  2. Step 2: Convert to fraction form
    2,236.14/3,353.90 = 592.83/x
  3. Step 3: Cross multiply
    2,236.14x = 3,353.90 × 592.83
  4. Step 4: Simplify right side
    2,236.14x = 1,988,289.57
  5. Step 5: Solve for x
    x = 1,988,289.57/2,236.14
  6. Step 6: Final answer
    x = 889.16

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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.