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Finding the Fourth Proportional to 2,857.91, 4,287.35 and 1,010.09

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Solution

The fourth proportional to 2,857.91, 4,287.35 and 1,010.09 is: 1,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.91 : 4,287.35 = 1,010.09 : x
  2. Step 2: Convert to fraction form
    2,857.91/4,287.35 = 1,010.09/x
  3. Step 3: Cross multiply
    2,857.91x = 4,287.35 × 1,010.09
  4. Step 4: Simplify right side
    2,857.91x = 4,330,622.61
  5. Step 5: Solve for x
    x = 4,330,622.61/2,857.91
  6. Step 6: Final answer
    x = 1,515.31

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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.