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Finding the Fourth Proportional to 2,227.74, 3,341.59 and 584.26

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Solution

The fourth proportional to 2,227.74, 3,341.59 and 584.26 is: 876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.74 : 3,341.59 = 584.26 : x
  2. Step 2: Convert to fraction form
    2,227.74/3,341.59 = 584.26/x
  3. Step 3: Cross multiply
    2,227.74x = 3,341.59 × 584.26
  4. Step 4: Simplify right side
    2,227.74x = 1,952,347.56
  5. Step 5: Solve for x
    x = 1,952,347.56/2,227.74
  6. Step 6: Final answer
    x = 876.38

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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.