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Finding the Fourth Proportional to 3,134.12, 4,701.27 and 825.62

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Solution

The fourth proportional to 3,134.12, 4,701.27 and 825.62 is: 1,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.12 : 4,701.27 = 825.62 : x
  2. Step 2: Convert to fraction form
    3,134.12/4,701.27 = 825.62/x
  3. Step 3: Cross multiply
    3,134.12x = 4,701.27 × 825.62
  4. Step 4: Simplify right side
    3,134.12x = 3,881,462.54
  5. Step 5: Solve for x
    x = 3,881,462.54/3,134.12
  6. Step 6: Final answer
    x = 1,238.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.