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Finding the Fourth Proportional to 2,068.07, 3,099.66 and 833.82

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Solution

The fourth proportional to 2,068.07, 3,099.66 and 833.82 is: 1,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.07 : 3,099.66 = 833.82 : x
  2. Step 2: Convert to fraction form
    2,068.07/3,099.66 = 833.82/x
  3. Step 3: Cross multiply
    2,068.07x = 3,099.66 × 833.82
  4. Step 4: Simplify right side
    2,068.07x = 2,584,558.50
  5. Step 5: Solve for x
    x = 2,584,558.50/2,068.07
  6. Step 6: Final answer
    x = 1,249.75

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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.