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Finding the Fourth Proportional to 2,224.32, 3,334.10 and 1,674.83

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Solution

The fourth proportional to 2,224.32, 3,334.10 and 1,674.83 is: 2,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.32 : 3,334.10 = 1,674.83 : x
  2. Step 2: Convert to fraction form
    2,224.32/3,334.10 = 1,674.83/x
  3. Step 3: Cross multiply
    2,224.32x = 3,334.10 × 1,674.83
  4. Step 4: Simplify right side
    2,224.32x = 5,584,025.66
  5. Step 5: Solve for x
    x = 5,584,025.66/2,224.32
  6. Step 6: Final answer
    x = 2,510.44

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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.