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Finding the Fourth Proportional to 3,077.50, 4,247.04 and 1,680.34

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Solution

The fourth proportional to 3,077.50, 4,247.04 and 1,680.34 is: 2,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.50 : 4,247.04 = 1,680.34 : x
  2. Step 2: Convert to fraction form
    3,077.50/4,247.04 = 1,680.34/x
  3. Step 3: Cross multiply
    3,077.50x = 4,247.04 × 1,680.34
  4. Step 4: Simplify right side
    3,077.50x = 7,136,471.19
  5. Step 5: Solve for x
    x = 7,136,471.19/3,077.50
  6. Step 6: Final answer
    x = 2,318.92

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Why These Related Problems?

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