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Finding the Fourth Proportional to 2,074.20, 3,108.90 and 840.80

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Solution

The fourth proportional to 2,074.20, 3,108.90 and 840.80 is: 1,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.20 : 3,108.90 = 840.80 : x
  2. Step 2: Convert to fraction form
    2,074.20/3,108.90 = 840.80/x
  3. Step 3: Cross multiply
    2,074.20x = 3,108.90 × 840.80
  4. Step 4: Simplify right side
    2,074.20x = 2,613,963.12
  5. Step 5: Solve for x
    x = 2,613,963.12/2,074.20
  6. Step 6: Final answer
    x = 1,260.23

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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.