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Finding the Fourth Proportional to 2,777.78, 3,833.34 and 1,599.23

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Solution

The fourth proportional to 2,777.78, 3,833.34 and 1,599.23 is: 2,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.78 : 3,833.34 = 1,599.23 : x
  2. Step 2: Convert to fraction form
    2,777.78/3,833.34 = 1,599.23/x
  3. Step 3: Cross multiply
    2,777.78x = 3,833.34 × 1,599.23
  4. Step 4: Simplify right side
    2,777.78x = 6,130,392.33
  5. Step 5: Solve for x
    x = 6,130,392.33/2,777.78
  6. Step 6: Final answer
    x = 2,206.94

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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.