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Finding the Fourth Proportional to 2,182.30, 3,273.45 and 2,182.30

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Solution

The fourth proportional to 2,182.30, 3,273.45 and 2,182.30 is: 3,273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.30 : 3,273.45 = 2,182.30 : x
  2. Step 2: Convert to fraction form
    2,182.30/3,273.45 = 2,182.30/x
  3. Step 3: Cross multiply
    2,182.30x = 3,273.45 × 2,182.30
  4. Step 4: Simplify right side
    2,182.30x = 7,143,649.94
  5. Step 5: Solve for x
    x = 7,143,649.94/2,182.30
  6. Step 6: Final answer
    x = 3,273.45

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1.5x scale

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.