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Finding the Fourth Proportional to 2,164.95, 3,247.20 and 704.34

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Solution

The fourth proportional to 2,164.95, 3,247.20 and 704.34 is: 1,056.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.95 : 3,247.20 = 704.34 : x
  2. Step 2: Convert to fraction form
    2,164.95/3,247.20 = 704.34/x
  3. Step 3: Cross multiply
    2,164.95x = 3,247.20 × 704.34
  4. Step 4: Simplify right side
    2,164.95x = 2,287,132.85
  5. Step 5: Solve for x
    x = 2,287,132.85/2,164.95
  6. Step 6: Final answer
    x = 1,056.44

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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.