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Finding the Fourth Proportional to 2,238.24, 3,357.10 and 594.91

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Solution

The fourth proportional to 2,238.24, 3,357.10 and 594.91 is: 892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.24 : 3,357.10 = 594.91 : x
  2. Step 2: Convert to fraction form
    2,238.24/3,357.10 = 594.91/x
  3. Step 3: Cross multiply
    2,238.24x = 3,357.10 × 594.91
  4. Step 4: Simplify right side
    2,238.24x = 1,997,172.36
  5. Step 5: Solve for x
    x = 1,997,172.36/2,238.24
  6. Step 6: Final answer
    x = 892.30

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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.