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Finding the Fourth Proportional to 2,054, 2,834.76 and 1,226

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Solution

The fourth proportional to 2,054, 2,834.76 and 1,226 is: 1,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054 : 2,834.76 = 1,226 : x
  2. Step 2: Convert to fraction form
    2,054/2,834.76 = 1,226/x
  3. Step 3: Cross multiply
    2,054x = 2,834.76 × 1,226
  4. Step 4: Simplify right side
    2,054x = 3,475,415.76
  5. Step 5: Solve for x
    x = 3,475,415.76/2,054
  6. Step 6: Final answer
    x = 1,692.02

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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.