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Finding the Fourth Proportional to 2,238.23, 3,357.16 and 594.77

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Solution

The fourth proportional to 2,238.23, 3,357.16 and 594.77 is: 892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.23 : 3,357.16 = 594.77 : x
  2. Step 2: Convert to fraction form
    2,238.23/3,357.16 = 594.77/x
  3. Step 3: Cross multiply
    2,238.23x = 3,357.16 × 594.77
  4. Step 4: Simplify right side
    2,238.23x = 1,996,738.05
  5. Step 5: Solve for x
    x = 1,996,738.05/2,238.23
  6. Step 6: Final answer
    x = 892.11

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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.