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Finding the Fourth Proportional to 2,850.58, 3,934.29 and 2,106.70

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Solution

The fourth proportional to 2,850.58, 3,934.29 and 2,106.70 is: 2,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.58 : 3,934.29 = 2,106.70 : x
  2. Step 2: Convert to fraction form
    2,850.58/3,934.29 = 2,106.70/x
  3. Step 3: Cross multiply
    2,850.58x = 3,934.29 × 2,106.70
  4. Step 4: Simplify right side
    2,850.58x = 8,288,366.81
  5. Step 5: Solve for x
    x = 8,288,366.81/2,850.58
  6. Step 6: Final answer
    x = 2,907.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.