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Finding the Fourth Proportional to 2,600.00, 3,900.13 and 868.76

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Solution

The fourth proportional to 2,600.00, 3,900.13 and 868.76 is: 1,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.00 : 3,900.13 = 868.76 : x
  2. Step 2: Convert to fraction form
    2,600.00/3,900.13 = 868.76/x
  3. Step 3: Cross multiply
    2,600.00x = 3,900.13 × 868.76
  4. Step 4: Simplify right side
    2,600.00x = 3,388,257.44
  5. Step 5: Solve for x
    x = 3,388,257.44/2,600.00
  6. Step 6: Final answer
    x = 1,303.18

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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.