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Finding the Fourth Proportional to 2,857.29, 4,284.87 and 1,007.91

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Solution

The fourth proportional to 2,857.29, 4,284.87 and 1,007.91 is: 1,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.29 : 4,284.87 = 1,007.91 : x
  2. Step 2: Convert to fraction form
    2,857.29/4,284.87 = 1,007.91/x
  3. Step 3: Cross multiply
    2,857.29x = 4,284.87 × 1,007.91
  4. Step 4: Simplify right side
    2,857.29x = 4,318,759.54
  5. Step 5: Solve for x
    x = 4,318,759.54/2,857.29
  6. Step 6: Final answer
    x = 1,511.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.