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Finding the Fourth Proportional to 2,273.72, 3,125.84 and 2,259.68

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Solution

The fourth proportional to 2,273.72, 3,125.84 and 2,259.68 is: 3,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.72 : 3,125.84 = 2,259.68 : x
  2. Step 2: Convert to fraction form
    2,273.72/3,125.84 = 2,259.68/x
  3. Step 3: Cross multiply
    2,273.72x = 3,125.84 × 2,259.68
  4. Step 4: Simplify right side
    2,273.72x = 7,063,398.13
  5. Step 5: Solve for x
    x = 7,063,398.13/2,273.72
  6. Step 6: Final answer
    x = 3,106.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.