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Finding the Fourth Proportional to 2,834.68, 3,907.14 and 2,274.12

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Solution

The fourth proportional to 2,834.68, 3,907.14 and 2,274.12 is: 3,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.68 : 3,907.14 = 2,274.12 : x
  2. Step 2: Convert to fraction form
    2,834.68/3,907.14 = 2,274.12/x
  3. Step 3: Cross multiply
    2,834.68x = 3,907.14 × 2,274.12
  4. Step 4: Simplify right side
    2,834.68x = 8,885,305.22
  5. Step 5: Solve for x
    x = 8,885,305.22/2,834.68
  6. Step 6: Final answer
    x = 3,134.50

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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.