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Finding the Fourth Proportional to 2,768.63, 3,826.17 and 2,473.38

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Solution

The fourth proportional to 2,768.63, 3,826.17 and 2,473.38 is: 3,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.63 : 3,826.17 = 2,473.38 : x
  2. Step 2: Convert to fraction form
    2,768.63/3,826.17 = 2,473.38/x
  3. Step 3: Cross multiply
    2,768.63x = 3,826.17 × 2,473.38
  4. Step 4: Simplify right side
    2,768.63x = 9,463,572.35
  5. Step 5: Solve for x
    x = 9,463,572.35/2,768.63
  6. Step 6: Final answer
    x = 3,418.15

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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.