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Finding the Fourth Proportional to 2,344.23, 3,515.31 and 882.36

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Solution

The fourth proportional to 2,344.23, 3,515.31 and 882.36 is: 1,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.23 : 3,515.31 = 882.36 : x
  2. Step 2: Convert to fraction form
    2,344.23/3,515.31 = 882.36/x
  3. Step 3: Cross multiply
    2,344.23x = 3,515.31 × 882.36
  4. Step 4: Simplify right side
    2,344.23x = 3,101,768.93
  5. Step 5: Solve for x
    x = 3,101,768.93/2,344.23
  6. Step 6: Final answer
    x = 1,323.15

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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.