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Finding the Fourth Proportional to 2,054, 2,834.56 and 1,226

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Solution

The fourth proportional to 2,054, 2,834.56 and 1,226 is: 1,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054 : 2,834.56 = 1,226 : x
  2. Step 2: Convert to fraction form
    2,054/2,834.56 = 1,226/x
  3. Step 3: Cross multiply
    2,054x = 2,834.56 × 1,226
  4. Step 4: Simplify right side
    2,054x = 3,475,170.56
  5. Step 5: Solve for x
    x = 3,475,170.56/2,054
  6. Step 6: Final answer
    x = 1,691.90

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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.