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Finding the Fourth Proportional to 2,023.25, 3,034.26 and 706.64

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Solution

The fourth proportional to 2,023.25, 3,034.26 and 706.64 is: 1,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.25 : 3,034.26 = 706.64 : x
  2. Step 2: Convert to fraction form
    2,023.25/3,034.26 = 706.64/x
  3. Step 3: Cross multiply
    2,023.25x = 3,034.26 × 706.64
  4. Step 4: Simplify right side
    2,023.25x = 2,144,129.49
  5. Step 5: Solve for x
    x = 2,144,129.49/2,023.25
  6. Step 6: Final answer
    x = 1,059.75

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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.