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Finding the Fourth Proportional to 2,706.43, 4,059.65 and 1,476.24

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Solution

The fourth proportional to 2,706.43, 4,059.65 and 1,476.24 is: 2,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.43 : 4,059.65 = 1,476.24 : x
  2. Step 2: Convert to fraction form
    2,706.43/4,059.65 = 1,476.24/x
  3. Step 3: Cross multiply
    2,706.43x = 4,059.65 × 1,476.24
  4. Step 4: Simplify right side
    2,706.43x = 5,993,029.02
  5. Step 5: Solve for x
    x = 5,993,029.02/2,706.43
  6. Step 6: Final answer
    x = 2,214.37

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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.