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Finding the Fourth Proportional to 2,847.66, 4,267.70 and 1,614.30

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Solution

The fourth proportional to 2,847.66, 4,267.70 and 1,614.30 is: 2,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.66 : 4,267.70 = 1,614.30 : x
  2. Step 2: Convert to fraction form
    2,847.66/4,267.70 = 1,614.30/x
  3. Step 3: Cross multiply
    2,847.66x = 4,267.70 × 1,614.30
  4. Step 4: Simplify right side
    2,847.66x = 6,889,348.11
  5. Step 5: Solve for x
    x = 6,889,348.11/2,847.66
  6. Step 6: Final answer
    x = 2,419.30

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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.