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Finding the Fourth Proportional to 2,815.98, 4,224.65 and 868.07

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Solution

The fourth proportional to 2,815.98, 4,224.65 and 868.07 is: 1,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.98 : 4,224.65 = 868.07 : x
  2. Step 2: Convert to fraction form
    2,815.98/4,224.65 = 868.07/x
  3. Step 3: Cross multiply
    2,815.98x = 4,224.65 × 868.07
  4. Step 4: Simplify right side
    2,815.98x = 3,667,266.46
  5. Step 5: Solve for x
    x = 3,667,266.46/2,815.98
  6. Step 6: Final answer
    x = 1,302.31

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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.