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Finding the Fourth Proportional to 2,383.81, 3,573.59 and 1,213.16

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Solution

The fourth proportional to 2,383.81, 3,573.59 and 1,213.16 is: 1,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.81 : 3,573.59 = 1,213.16 : x
  2. Step 2: Convert to fraction form
    2,383.81/3,573.59 = 1,213.16/x
  3. Step 3: Cross multiply
    2,383.81x = 3,573.59 × 1,213.16
  4. Step 4: Simplify right side
    2,383.81x = 4,335,336.44
  5. Step 5: Solve for x
    x = 4,335,336.44/2,383.81
  6. Step 6: Final answer
    x = 1,818.66

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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.