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Finding the Fourth Proportional to 2,195.84, 3,296.50 and 2,108.36

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Solution

The fourth proportional to 2,195.84, 3,296.50 and 2,108.36 is: 3,165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.84 : 3,296.50 = 2,108.36 : x
  2. Step 2: Convert to fraction form
    2,195.84/3,296.50 = 2,108.36/x
  3. Step 3: Cross multiply
    2,195.84x = 3,296.50 × 2,108.36
  4. Step 4: Simplify right side
    2,195.84x = 6,950,211.71
  5. Step 5: Solve for x
    x = 6,950,211.71/2,195.84
  6. Step 6: Final answer
    x = 3,165.17

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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.