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Finding the Fourth Proportional to 2,857.69, 4,285.83 and 909.46

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Solution

The fourth proportional to 2,857.69, 4,285.83 and 909.46 is: 1,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.69 : 4,285.83 = 909.46 : x
  2. Step 2: Convert to fraction form
    2,857.69/4,285.83 = 909.46/x
  3. Step 3: Cross multiply
    2,857.69x = 4,285.83 × 909.46
  4. Step 4: Simplify right side
    2,857.69x = 3,897,790.95
  5. Step 5: Solve for x
    x = 3,897,790.95/2,857.69
  6. Step 6: Final answer
    x = 1,363.97

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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.