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Finding the Fourth Proportional to 3,112.83, 4,670.46 and 921.58

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Solution

The fourth proportional to 3,112.83, 4,670.46 and 921.58 is: 1,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.83 : 4,670.46 = 921.58 : x
  2. Step 2: Convert to fraction form
    3,112.83/4,670.46 = 921.58/x
  3. Step 3: Cross multiply
    3,112.83x = 4,670.46 × 921.58
  4. Step 4: Simplify right side
    3,112.83x = 4,304,190.85
  5. Step 5: Solve for x
    x = 4,304,190.85/3,112.83
  6. Step 6: Final answer
    x = 1,382.73

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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.