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Finding the Fourth Proportional to 1,229.13, 1,674.90 and 1,224.81

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Solution

The fourth proportional to 1,229.13, 1,674.90 and 1,224.81 is: 1,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.13 : 1,674.90 = 1,224.81 : x
  2. Step 2: Convert to fraction form
    1,229.13/1,674.90 = 1,224.81/x
  3. Step 3: Cross multiply
    1,229.13x = 1,674.90 × 1,224.81
  4. Step 4: Simplify right side
    1,229.13x = 2,051,434.27
  5. Step 5: Solve for x
    x = 2,051,434.27/1,229.13
  6. Step 6: Final answer
    x = 1,669.01

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.