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Finding the Fourth Proportional to 1,422.72, 2,135.04 and 1,324.80

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Solution

The fourth proportional to 1,422.72, 2,135.04 and 1,324.80 is: 1,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.72 : 2,135.04 = 1,324.80 : x
  2. Step 2: Convert to fraction form
    1,422.72/2,135.04 = 1,324.80/x
  3. Step 3: Cross multiply
    1,422.72x = 2,135.04 × 1,324.80
  4. Step 4: Simplify right side
    1,422.72x = 2,828,500.99
  5. Step 5: Solve for x
    x = 2,828,500.99/1,422.72
  6. Step 6: Final answer
    x = 1,988.09

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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.