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Finding the Fourth Proportional to 3,134.13, 4,701.39 and 825.63

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Solution

The fourth proportional to 3,134.13, 4,701.39 and 825.63 is: 1,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.13 : 4,701.39 = 825.63 : x
  2. Step 2: Convert to fraction form
    3,134.13/4,701.39 = 825.63/x
  3. Step 3: Cross multiply
    3,134.13x = 4,701.39 × 825.63
  4. Step 4: Simplify right side
    3,134.13x = 3,881,608.63
  5. Step 5: Solve for x
    x = 3,881,608.63/3,134.13
  6. Step 6: Final answer
    x = 1,238.50

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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.