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Finding the Fourth Proportional to 3,077.54, 4,247.01 and 1,680.29

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Solution

The fourth proportional to 3,077.54, 4,247.01 and 1,680.29 is: 2,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.54 : 4,247.01 = 1,680.29 : x
  2. Step 2: Convert to fraction form
    3,077.54/4,247.01 = 1,680.29/x
  3. Step 3: Cross multiply
    3,077.54x = 4,247.01 × 1,680.29
  4. Step 4: Simplify right side
    3,077.54x = 7,136,187.20
  5. Step 5: Solve for x
    x = 7,136,187.20/3,077.54
  6. Step 6: Final answer
    x = 2,318.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.