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Finding the Fourth Proportional to 2,237.83, 3,356.94 and 594.44

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Solution

The fourth proportional to 2,237.83, 3,356.94 and 594.44 is: 891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.83 : 3,356.94 = 594.44 : x
  2. Step 2: Convert to fraction form
    2,237.83/3,356.94 = 594.44/x
  3. Step 3: Cross multiply
    2,237.83x = 3,356.94 × 594.44
  4. Step 4: Simplify right side
    2,237.83x = 1,995,497.45
  5. Step 5: Solve for x
    x = 1,995,497.45/2,237.83
  6. Step 6: Final answer
    x = 891.71

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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.