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Finding the Fourth Proportional to 3,141.14, 4,711.73 and 801.15

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Solution

The fourth proportional to 3,141.14, 4,711.73 and 801.15 is: 1,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.14 : 4,711.73 = 801.15 : x
  2. Step 2: Convert to fraction form
    3,141.14/4,711.73 = 801.15/x
  3. Step 3: Cross multiply
    3,141.14x = 4,711.73 × 801.15
  4. Step 4: Simplify right side
    3,141.14x = 3,774,802.49
  5. Step 5: Solve for x
    x = 3,774,802.49/3,141.14
  6. Step 6: Final answer
    x = 1,201.73

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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.