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Finding the Fourth Proportional to 2,706.52, 4,057.14 and 1,319.80

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Solution

The fourth proportional to 2,706.52, 4,057.14 and 1,319.80 is: 1,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.52 : 4,057.14 = 1,319.80 : x
  2. Step 2: Convert to fraction form
    2,706.52/4,057.14 = 1,319.80/x
  3. Step 3: Cross multiply
    2,706.52x = 4,057.14 × 1,319.80
  4. Step 4: Simplify right side
    2,706.52x = 5,354,613.37
  5. Step 5: Solve for x
    x = 5,354,613.37/2,706.52
  6. Step 6: Final answer
    x = 1,978.41

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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.