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Finding the Fourth Proportional to 2,238.42, 3,357.78 and 594.95

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Solution

The fourth proportional to 2,238.42, 3,357.78 and 594.95 is: 892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.42 : 3,357.78 = 594.95 : x
  2. Step 2: Convert to fraction form
    2,238.42/3,357.78 = 594.95/x
  3. Step 3: Cross multiply
    2,238.42x = 3,357.78 × 594.95
  4. Step 4: Simplify right side
    2,238.42x = 1,997,711.21
  5. Step 5: Solve for x
    x = 1,997,711.21/2,238.42
  6. Step 6: Final answer
    x = 892.46

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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.