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Finding the Fourth Proportional to 2,852.96, 3,938.22 and 1,859.09

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Solution

The fourth proportional to 2,852.96, 3,938.22 and 1,859.09 is: 2,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.96 : 3,938.22 = 1,859.09 : x
  2. Step 2: Convert to fraction form
    2,852.96/3,938.22 = 1,859.09/x
  3. Step 3: Cross multiply
    2,852.96x = 3,938.22 × 1,859.09
  4. Step 4: Simplify right side
    2,852.96x = 7,321,485.73
  5. Step 5: Solve for x
    x = 7,321,485.73/2,852.96
  6. Step 6: Final answer
    x = 2,566.28

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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.