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Finding the Fourth Proportional to 2,065.97, 3,099.87 and 835.79

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Solution

The fourth proportional to 2,065.97, 3,099.87 and 835.79 is: 1,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.97 : 3,099.87 = 835.79 : x
  2. Step 2: Convert to fraction form
    2,065.97/3,099.87 = 835.79/x
  3. Step 3: Cross multiply
    2,065.97x = 3,099.87 × 835.79
  4. Step 4: Simplify right side
    2,065.97x = 2,590,824.85
  5. Step 5: Solve for x
    x = 2,590,824.85/2,065.97
  6. Step 6: Final answer
    x = 1,254.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.