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Finding the Fourth Proportional to 2,238.32, 3,357.22 and 594.98

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Solution

The fourth proportional to 2,238.32, 3,357.22 and 594.98 is: 892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.32 : 3,357.22 = 594.98 : x
  2. Step 2: Convert to fraction form
    2,238.32/3,357.22 = 594.98/x
  3. Step 3: Cross multiply
    2,238.32x = 3,357.22 × 594.98
  4. Step 4: Simplify right side
    2,238.32x = 1,997,478.76
  5. Step 5: Solve for x
    x = 1,997,478.76/2,238.32
  6. Step 6: Final answer
    x = 892.40

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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.