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Finding the Fourth Proportional to 2,866.62, 4,299.93 and 919.11

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Solution

The fourth proportional to 2,866.62, 4,299.93 and 919.11 is: 1,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.62 : 4,299.93 = 919.11 : x
  2. Step 2: Convert to fraction form
    2,866.62/4,299.93 = 919.11/x
  3. Step 3: Cross multiply
    2,866.62x = 4,299.93 × 919.11
  4. Step 4: Simplify right side
    2,866.62x = 3,952,108.66
  5. Step 5: Solve for x
    x = 3,952,108.66/2,866.62
  6. Step 6: Final answer
    x = 1,378.67

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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.