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Finding the Fourth Proportional to 2,358.82, 3,513.11 and 2,294.23

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Solution

The fourth proportional to 2,358.82, 3,513.11 and 2,294.23 is: 3,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.82 : 3,513.11 = 2,294.23 : x
  2. Step 2: Convert to fraction form
    2,358.82/3,513.11 = 2,294.23/x
  3. Step 3: Cross multiply
    2,358.82x = 3,513.11 × 2,294.23
  4. Step 4: Simplify right side
    2,358.82x = 8,059,882.36
  5. Step 5: Solve for x
    x = 8,059,882.36/2,358.82
  6. Step 6: Final answer
    x = 3,416.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.