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Finding the Fourth Proportional to 2,725.17, 4,086.94 and 969.86

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Solution

The fourth proportional to 2,725.17, 4,086.94 and 969.86 is: 1,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.17 : 4,086.94 = 969.86 : x
  2. Step 2: Convert to fraction form
    2,725.17/4,086.94 = 969.86/x
  3. Step 3: Cross multiply
    2,725.17x = 4,086.94 × 969.86
  4. Step 4: Simplify right side
    2,725.17x = 3,963,759.63
  5. Step 5: Solve for x
    x = 3,963,759.63/2,725.17
  6. Step 6: Final answer
    x = 1,454.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.