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Finding the Fourth Proportional to 2,511.45, 3,767.99 and 869.04

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Solution

The fourth proportional to 2,511.45, 3,767.99 and 869.04 is: 1,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.45 : 3,767.99 = 869.04 : x
  2. Step 2: Convert to fraction form
    2,511.45/3,767.99 = 869.04/x
  3. Step 3: Cross multiply
    2,511.45x = 3,767.99 × 869.04
  4. Step 4: Simplify right side
    2,511.45x = 3,274,529.68
  5. Step 5: Solve for x
    x = 3,274,529.68/2,511.45
  6. Step 6: Final answer
    x = 1,303.84

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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.