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Finding the Fourth Proportional to 2,238.17, 3,357.02 and 594.88

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Solution

The fourth proportional to 2,238.17, 3,357.02 and 594.88 is: 892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.17 : 3,357.02 = 594.88 : x
  2. Step 2: Convert to fraction form
    2,238.17/3,357.02 = 594.88/x
  3. Step 3: Cross multiply
    2,238.17x = 3,357.02 × 594.88
  4. Step 4: Simplify right side
    2,238.17x = 1,997,017.15
  5. Step 5: Solve for x
    x = 1,997,017.15/2,238.17
  6. Step 6: Final answer
    x = 892.26

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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.