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Finding the Fourth Proportional to 2,394.29, 3,590.82 and 1,161.99

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Solution

The fourth proportional to 2,394.29, 3,590.82 and 1,161.99 is: 1,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.29 : 3,590.82 = 1,161.99 : x
  2. Step 2: Convert to fraction form
    2,394.29/3,590.82 = 1,161.99/x
  3. Step 3: Cross multiply
    2,394.29x = 3,590.82 × 1,161.99
  4. Step 4: Simplify right side
    2,394.29x = 4,172,496.93
  5. Step 5: Solve for x
    x = 4,172,496.93/2,394.29
  6. Step 6: Final answer
    x = 1,742.68

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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.