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Finding the Fourth Proportional to 2,815.94, 4,223.98 and 868.14

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Solution

The fourth proportional to 2,815.94, 4,223.98 and 868.14 is: 1,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.94 : 4,223.98 = 868.14 : x
  2. Step 2: Convert to fraction form
    2,815.94/4,223.98 = 868.14/x
  3. Step 3: Cross multiply
    2,815.94x = 4,223.98 × 868.14
  4. Step 4: Simplify right side
    2,815.94x = 3,667,006.00
  5. Step 5: Solve for x
    x = 3,667,006.00/2,815.94
  6. Step 6: Final answer
    x = 1,302.23

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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.