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Finding the Fourth Proportional to 2,855.10, 4,283.86 and 1,007.22

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Solution

The fourth proportional to 2,855.10, 4,283.86 and 1,007.22 is: 1,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.10 : 4,283.86 = 1,007.22 : x
  2. Step 2: Convert to fraction form
    2,855.10/4,283.86 = 1,007.22/x
  3. Step 3: Cross multiply
    2,855.10x = 4,283.86 × 1,007.22
  4. Step 4: Simplify right side
    2,855.10x = 4,314,789.47
  5. Step 5: Solve for x
    x = 4,314,789.47/2,855.10
  6. Step 6: Final answer
    x = 1,511.26

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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.