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Finding the Fourth Proportional to 3,077.25, 4,246.64 and 1,680

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Solution

The fourth proportional to 3,077.25, 4,246.64 and 1,680 is: 2,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.25 : 4,246.64 = 1,680 : x
  2. Step 2: Convert to fraction form
    3,077.25/4,246.64 = 1,680/x
  3. Step 3: Cross multiply
    3,077.25x = 4,246.64 × 1,680
  4. Step 4: Simplify right side
    3,077.25x = 7,134,346.80
  5. Step 5: Solve for x
    x = 7,134,346.80/3,077.25
  6. Step 6: Final answer
    x = 2,318.42

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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.