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Finding the Fourth Proportional to 2,180.94, 3,277.90 and 1,027.50

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Solution

The fourth proportional to 2,180.94, 3,277.90 and 1,027.50 is: 1,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.94 : 3,277.90 = 1,027.50 : x
  2. Step 2: Convert to fraction form
    2,180.94/3,277.90 = 1,027.50/x
  3. Step 3: Cross multiply
    2,180.94x = 3,277.90 × 1,027.50
  4. Step 4: Simplify right side
    2,180.94x = 3,368,042.25
  5. Step 5: Solve for x
    x = 3,368,042.25/2,180.94
  6. Step 6: Final answer
    x = 1,544.31

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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.