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Finding the Fourth Proportional to 1,622.85, 2,242.67 and 1,229.19

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Solution

The fourth proportional to 1,622.85, 2,242.67 and 1,229.19 is: 1,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.85 : 2,242.67 = 1,229.19 : x
  2. Step 2: Convert to fraction form
    1,622.85/2,242.67 = 1,229.19/x
  3. Step 3: Cross multiply
    1,622.85x = 2,242.67 × 1,229.19
  4. Step 4: Simplify right side
    1,622.85x = 2,756,661.39
  5. Step 5: Solve for x
    x = 2,756,661.39/1,622.85
  6. Step 6: Final answer
    x = 1,698.65

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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.