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Finding the Fourth Proportional to 1,649.75, 2,272.86 and 1,571.99

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Solution

The fourth proportional to 1,649.75, 2,272.86 and 1,571.99 is: 2,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.75 : 2,272.86 = 1,571.99 : x
  2. Step 2: Convert to fraction form
    1,649.75/2,272.86 = 1,571.99/x
  3. Step 3: Cross multiply
    1,649.75x = 2,272.86 × 1,571.99
  4. Step 4: Simplify right side
    1,649.75x = 3,572,901.83
  5. Step 5: Solve for x
    x = 3,572,901.83/1,649.75
  6. Step 6: Final answer
    x = 2,165.73

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1.5x scale

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.