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Finding the Fourth Proportional to 2,857.06, 4,286.10 and 1,009.25

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Solution

The fourth proportional to 2,857.06, 4,286.10 and 1,009.25 is: 1,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.06 : 4,286.10 = 1,009.25 : x
  2. Step 2: Convert to fraction form
    2,857.06/4,286.10 = 1,009.25/x
  3. Step 3: Cross multiply
    2,857.06x = 4,286.10 × 1,009.25
  4. Step 4: Simplify right side
    2,857.06x = 4,325,746.43
  5. Step 5: Solve for x
    x = 4,325,746.43/2,857.06
  6. Step 6: Final answer
    x = 1,514.06

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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.