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Finding the Fourth Proportional to 3,183.70, 4,393.51 and 1,857.15

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Solution

The fourth proportional to 3,183.70, 4,393.51 and 1,857.15 is: 2,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.70 : 4,393.51 = 1,857.15 : x
  2. Step 2: Convert to fraction form
    3,183.70/4,393.51 = 1,857.15/x
  3. Step 3: Cross multiply
    3,183.70x = 4,393.51 × 1,857.15
  4. Step 4: Simplify right side
    3,183.70x = 8,159,397.81
  5. Step 5: Solve for x
    x = 8,159,397.81/3,183.70
  6. Step 6: Final answer
    x = 2,562.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.