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Finding the Fourth Proportional to 1,614.15, 2,422.03 and 1,204.11

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Solution

The fourth proportional to 1,614.15, 2,422.03 and 1,204.11 is: 1,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.15 : 2,422.03 = 1,204.11 : x
  2. Step 2: Convert to fraction form
    1,614.15/2,422.03 = 1,204.11/x
  3. Step 3: Cross multiply
    1,614.15x = 2,422.03 × 1,204.11
  4. Step 4: Simplify right side
    1,614.15x = 2,916,390.54
  5. Step 5: Solve for x
    x = 2,916,390.54/1,614.15
  6. Step 6: Final answer
    x = 1,806.77

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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.