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Finding the Fourth Proportional to 2,897.82, 3,999 and 1,571.54

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Solution

The fourth proportional to 2,897.82, 3,999 and 1,571.54 is: 2,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.82 : 3,999 = 1,571.54 : x
  2. Step 2: Convert to fraction form
    2,897.82/3,999 = 1,571.54/x
  3. Step 3: Cross multiply
    2,897.82x = 3,999 × 1,571.54
  4. Step 4: Simplify right side
    2,897.82x = 6,284,588.46
  5. Step 5: Solve for x
    x = 6,284,588.46/2,897.82
  6. Step 6: Final answer
    x = 2,168.73

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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.