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Finding the Fourth Proportional to 2,294.26, 3,163.02 and 1,823.72

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Solution

The fourth proportional to 2,294.26, 3,163.02 and 1,823.72 is: 2,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.26 : 3,163.02 = 1,823.72 : x
  2. Step 2: Convert to fraction form
    2,294.26/3,163.02 = 1,823.72/x
  3. Step 3: Cross multiply
    2,294.26x = 3,163.02 × 1,823.72
  4. Step 4: Simplify right side
    2,294.26x = 5,768,462.83
  5. Step 5: Solve for x
    x = 5,768,462.83/2,294.26
  6. Step 6: Final answer
    x = 2,514.30

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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.