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Finding the Fourth Proportional to 2,852.78, 3,936.78 and 1,593.75

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Solution

The fourth proportional to 2,852.78, 3,936.78 and 1,593.75 is: 2,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.78 : 3,936.78 = 1,593.75 : x
  2. Step 2: Convert to fraction form
    2,852.78/3,936.78 = 1,593.75/x
  3. Step 3: Cross multiply
    2,852.78x = 3,936.78 × 1,593.75
  4. Step 4: Simplify right side
    2,852.78x = 6,274,243.13
  5. Step 5: Solve for x
    x = 6,274,243.13/2,852.78
  6. Step 6: Final answer
    x = 2,199.35

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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.