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Finding the Fourth Proportional to 2,222.64, 3,334.12 and 684.72

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Solution

The fourth proportional to 2,222.64, 3,334.12 and 684.72 is: 1,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.64 : 3,334.12 = 684.72 : x
  2. Step 2: Convert to fraction form
    2,222.64/3,334.12 = 684.72/x
  3. Step 3: Cross multiply
    2,222.64x = 3,334.12 × 684.72
  4. Step 4: Simplify right side
    2,222.64x = 2,282,938.65
  5. Step 5: Solve for x
    x = 2,282,938.65/2,222.64
  6. Step 6: Final answer
    x = 1,027.13

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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.