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Finding the Fourth Proportional to 2,852.47, 3,936.54 and 1,593.64

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Solution

The fourth proportional to 2,852.47, 3,936.54 and 1,593.64 is: 2,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.47 : 3,936.54 = 1,593.64 : x
  2. Step 2: Convert to fraction form
    2,852.47/3,936.54 = 1,593.64/x
  3. Step 3: Cross multiply
    2,852.47x = 3,936.54 × 1,593.64
  4. Step 4: Simplify right side
    2,852.47x = 6,273,427.61
  5. Step 5: Solve for x
    x = 6,273,427.61/2,852.47
  6. Step 6: Final answer
    x = 2,199.30

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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.