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Finding the Fourth Proportional to 1,609.11, 2,402.12 and 1,538.19

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Solution

The fourth proportional to 1,609.11, 2,402.12 and 1,538.19 is: 2,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.11 : 2,402.12 = 1,538.19 : x
  2. Step 2: Convert to fraction form
    1,609.11/2,402.12 = 1,538.19/x
  3. Step 3: Cross multiply
    1,609.11x = 2,402.12 × 1,538.19
  4. Step 4: Simplify right side
    1,609.11x = 3,694,920.81
  5. Step 5: Solve for x
    x = 3,694,920.81/1,609.11
  6. Step 6: Final answer
    x = 2,296.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.