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Finding the Fourth Proportional to 1,812.72, 2,497.70 and 1,222.23

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Solution

The fourth proportional to 1,812.72, 2,497.70 and 1,222.23 is: 1,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.72 : 2,497.70 = 1,222.23 : x
  2. Step 2: Convert to fraction form
    1,812.72/2,497.70 = 1,222.23/x
  3. Step 3: Cross multiply
    1,812.72x = 2,497.70 × 1,222.23
  4. Step 4: Simplify right side
    1,812.72x = 3,052,757.76
  5. Step 5: Solve for x
    x = 3,052,757.76/1,812.72
  6. Step 6: Final answer
    x = 1,684.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.