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Finding the Fourth Proportional to 2,269.14, 3,401.91 and 882.42

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Solution

The fourth proportional to 2,269.14, 3,401.91 and 882.42 is: 1,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.14 : 3,401.91 = 882.42 : x
  2. Step 2: Convert to fraction form
    2,269.14/3,401.91 = 882.42/x
  3. Step 3: Cross multiply
    2,269.14x = 3,401.91 × 882.42
  4. Step 4: Simplify right side
    2,269.14x = 3,001,913.42
  5. Step 5: Solve for x
    x = 3,001,913.42/2,269.14
  6. Step 6: Final answer
    x = 1,322.93

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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.