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Finding the Fourth Proportional to 2,195.96, 3,294 and 735.06

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Solution

The fourth proportional to 2,195.96, 3,294 and 735.06 is: 1,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.96 : 3,294 = 735.06 : x
  2. Step 2: Convert to fraction form
    2,195.96/3,294 = 735.06/x
  3. Step 3: Cross multiply
    2,195.96x = 3,294 × 735.06
  4. Step 4: Simplify right side
    2,195.96x = 2,421,287.64
  5. Step 5: Solve for x
    x = 2,421,287.64/2,195.96
  6. Step 6: Final answer
    x = 1,102.61

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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.