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Finding the Fourth Proportional to 3,077.86, 4,247.46 and 1,680.64

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Solution

The fourth proportional to 3,077.86, 4,247.46 and 1,680.64 is: 2,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.86 : 4,247.46 = 1,680.64 : x
  2. Step 2: Convert to fraction form
    3,077.86/4,247.46 = 1,680.64/x
  3. Step 3: Cross multiply
    3,077.86x = 4,247.46 × 1,680.64
  4. Step 4: Simplify right side
    3,077.86x = 7,138,451.17
  5. Step 5: Solve for x
    x = 7,138,451.17/3,077.86
  6. Step 6: Final answer
    x = 2,319.29

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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.