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Finding the Fourth Proportional to 1,622.69, 2,241.17 and 1,097.81

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Solution

The fourth proportional to 1,622.69, 2,241.17 and 1,097.81 is: 1,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.69 : 2,241.17 = 1,097.81 : x
  2. Step 2: Convert to fraction form
    1,622.69/2,241.17 = 1,097.81/x
  3. Step 3: Cross multiply
    1,622.69x = 2,241.17 × 1,097.81
  4. Step 4: Simplify right side
    1,622.69x = 2,460,378.84
  5. Step 5: Solve for x
    x = 2,460,378.84/1,622.69
  6. Step 6: Final answer
    x = 1,516.23

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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.