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Finding the Fourth Proportional to 2,185.07, 3,276.99 and 868.82

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Solution

The fourth proportional to 2,185.07, 3,276.99 and 868.82 is: 1,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.07 : 3,276.99 = 868.82 : x
  2. Step 2: Convert to fraction form
    2,185.07/3,276.99 = 868.82/x
  3. Step 3: Cross multiply
    2,185.07x = 3,276.99 × 868.82
  4. Step 4: Simplify right side
    2,185.07x = 2,847,098.07
  5. Step 5: Solve for x
    x = 2,847,098.07/2,185.07
  6. Step 6: Final answer
    x = 1,302.98

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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.