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Finding the Fourth Proportional to 2,215.36, 3,323.40 and 676

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Solution

The fourth proportional to 2,215.36, 3,323.40 and 676 is: 1,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.36 : 3,323.40 = 676 : x
  2. Step 2: Convert to fraction form
    2,215.36/3,323.40 = 676/x
  3. Step 3: Cross multiply
    2,215.36x = 3,323.40 × 676
  4. Step 4: Simplify right side
    2,215.36x = 2,246,618.40
  5. Step 5: Solve for x
    x = 2,246,618.40/2,215.36
  6. Step 6: Final answer
    x = 1,014.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.