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Finding the Fourth Proportional to 1,422.30, 2,134.42 and 872.81

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Solution

The fourth proportional to 1,422.30, 2,134.42 and 872.81 is: 1,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.30 : 2,134.42 = 872.81 : x
  2. Step 2: Convert to fraction form
    1,422.30/2,134.42 = 872.81/x
  3. Step 3: Cross multiply
    1,422.30x = 2,134.42 × 872.81
  4. Step 4: Simplify right side
    1,422.30x = 1,862,938.88
  5. Step 5: Solve for x
    x = 1,862,938.88/1,422.30
  6. Step 6: Final answer
    x = 1,309.80

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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.