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Finding the Fourth Proportional to 2,238.34, 3,357.48 and 594.84

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Solution

The fourth proportional to 2,238.34, 3,357.48 and 594.84 is: 892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.34 : 3,357.48 = 594.84 : x
  2. Step 2: Convert to fraction form
    2,238.34/3,357.48 = 594.84/x
  3. Step 3: Cross multiply
    2,238.34x = 3,357.48 × 594.84
  4. Step 4: Simplify right side
    2,238.34x = 1,997,163.40
  5. Step 5: Solve for x
    x = 1,997,163.40/2,238.34
  6. Step 6: Final answer
    x = 892.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.