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Finding the Fourth Proportional to 2,866.23, 4,298.41 and 917.97

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Solution

The fourth proportional to 2,866.23, 4,298.41 and 917.97 is: 1,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.23 : 4,298.41 = 917.97 : x
  2. Step 2: Convert to fraction form
    2,866.23/4,298.41 = 917.97/x
  3. Step 3: Cross multiply
    2,866.23x = 4,298.41 × 917.97
  4. Step 4: Simplify right side
    2,866.23x = 3,945,811.43
  5. Step 5: Solve for x
    x = 3,945,811.43/2,866.23
  6. Step 6: Final answer
    x = 1,376.66

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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.