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Finding the Fourth Proportional to 2,344.06, 3,515.22 and 882.82

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Solution

The fourth proportional to 2,344.06, 3,515.22 and 882.82 is: 1,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.06 : 3,515.22 = 882.82 : x
  2. Step 2: Convert to fraction form
    2,344.06/3,515.22 = 882.82/x
  3. Step 3: Cross multiply
    2,344.06x = 3,515.22 × 882.82
  4. Step 4: Simplify right side
    2,344.06x = 3,103,306.52
  5. Step 5: Solve for x
    x = 3,103,306.52/2,344.06
  6. Step 6: Final answer
    x = 1,323.90

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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.