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Finding the Fourth Proportional to 2,511.90, 3,459.11 and 2,351.44

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Solution

The fourth proportional to 2,511.90, 3,459.11 and 2,351.44 is: 3,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.90 : 3,459.11 = 2,351.44 : x
  2. Step 2: Convert to fraction form
    2,511.90/3,459.11 = 2,351.44/x
  3. Step 3: Cross multiply
    2,511.90x = 3,459.11 × 2,351.44
  4. Step 4: Simplify right side
    2,511.90x = 8,133,882.19
  5. Step 5: Solve for x
    x = 8,133,882.19/2,511.90
  6. Step 6: Final answer
    x = 3,238.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.