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Finding the Fourth Proportional to 2,224.76, 3,337.26 and 581.32

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Solution

The fourth proportional to 2,224.76, 3,337.26 and 581.32 is: 872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.76 : 3,337.26 = 581.32 : x
  2. Step 2: Convert to fraction form
    2,224.76/3,337.26 = 581.32/x
  3. Step 3: Cross multiply
    2,224.76x = 3,337.26 × 581.32
  4. Step 4: Simplify right side
    2,224.76x = 1,940,015.98
  5. Step 5: Solve for x
    x = 1,940,015.98/2,224.76
  6. Step 6: Final answer
    x = 872.01

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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.