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Finding the Fourth Proportional to 3,141.66, 4,712.61 and 1,061.73

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Solution

The fourth proportional to 3,141.66, 4,712.61 and 1,061.73 is: 1,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.66 : 4,712.61 = 1,061.73 : x
  2. Step 2: Convert to fraction form
    3,141.66/4,712.61 = 1,061.73/x
  3. Step 3: Cross multiply
    3,141.66x = 4,712.61 × 1,061.73
  4. Step 4: Simplify right side
    3,141.66x = 5,003,519.42
  5. Step 5: Solve for x
    x = 5,003,519.42/3,141.66
  6. Step 6: Final answer
    x = 1,592.64

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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.