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Finding the Fourth Proportional to 2,866.57, 4,300.49 and 918.97

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Solution

The fourth proportional to 2,866.57, 4,300.49 and 918.97 is: 1,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.57 : 4,300.49 = 918.97 : x
  2. Step 2: Convert to fraction form
    2,866.57/4,300.49 = 918.97/x
  3. Step 3: Cross multiply
    2,866.57x = 4,300.49 × 918.97
  4. Step 4: Simplify right side
    2,866.57x = 3,952,021.30
  5. Step 5: Solve for x
    x = 3,952,021.30/2,866.57
  6. Step 6: Final answer
    x = 1,378.66

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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.