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Finding the Fourth Proportional to 2,857.22, 4,286.63 and 909.57

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Solution

The fourth proportional to 2,857.22, 4,286.63 and 909.57 is: 1,364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.22 : 4,286.63 = 909.57 : x
  2. Step 2: Convert to fraction form
    2,857.22/4,286.63 = 909.57/x
  3. Step 3: Cross multiply
    2,857.22x = 4,286.63 × 909.57
  4. Step 4: Simplify right side
    2,857.22x = 3,898,992.32
  5. Step 5: Solve for x
    x = 3,898,992.32/2,857.22
  6. Step 6: Final answer
    x = 1,364.61

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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.