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Finding the Fourth Proportional to 2,165.70, 3,247.77 and 704.55

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Solution

The fourth proportional to 2,165.70, 3,247.77 and 704.55 is: 1,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.70 : 3,247.77 = 704.55 : x
  2. Step 2: Convert to fraction form
    2,165.70/3,247.77 = 704.55/x
  3. Step 3: Cross multiply
    2,165.70x = 3,247.77 × 704.55
  4. Step 4: Simplify right side
    2,165.70x = 2,288,216.35
  5. Step 5: Solve for x
    x = 2,288,216.35/2,165.70
  6. Step 6: Final answer
    x = 1,056.57

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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.