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Finding the Fourth Proportional to 2,857.43, 4,286.51 and 1,102.39

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Solution

The fourth proportional to 2,857.43, 4,286.51 and 1,102.39 is: 1,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.43 : 4,286.51 = 1,102.39 : x
  2. Step 2: Convert to fraction form
    2,857.43/4,286.51 = 1,102.39/x
  3. Step 3: Cross multiply
    2,857.43x = 4,286.51 × 1,102.39
  4. Step 4: Simplify right side
    2,857.43x = 4,725,393.66
  5. Step 5: Solve for x
    x = 4,725,393.66/2,857.43
  6. Step 6: Final answer
    x = 1,653.72

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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.