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Finding the Fourth Proportional to 2,777.96, 3,833.74 and 1,599.22

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Solution

The fourth proportional to 2,777.96, 3,833.74 and 1,599.22 is: 2,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.96 : 3,833.74 = 1,599.22 : x
  2. Step 2: Convert to fraction form
    2,777.96/3,833.74 = 1,599.22/x
  3. Step 3: Cross multiply
    2,777.96x = 3,833.74 × 1,599.22
  4. Step 4: Simplify right side
    2,777.96x = 6,130,993.68
  5. Step 5: Solve for x
    x = 6,130,993.68/2,777.96
  6. Step 6: Final answer
    x = 2,207.01

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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.