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Finding the Fourth Proportional to 2,093.42, 3,138.91 and 706.30

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Solution

The fourth proportional to 2,093.42, 3,138.91 and 706.30 is: 1,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.42 : 3,138.91 = 706.30 : x
  2. Step 2: Convert to fraction form
    2,093.42/3,138.91 = 706.30/x
  3. Step 3: Cross multiply
    2,093.42x = 3,138.91 × 706.30
  4. Step 4: Simplify right side
    2,093.42x = 2,217,012.13
  5. Step 5: Solve for x
    x = 2,217,012.13/2,093.42
  6. Step 6: Final answer
    x = 1,059.04

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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.