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Finding the Fourth Proportional to 2,171, 2,995.80 and 1,226.66

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Solution

The fourth proportional to 2,171, 2,995.80 and 1,226.66 is: 1,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171 : 2,995.80 = 1,226.66 : x
  2. Step 2: Convert to fraction form
    2,171/2,995.80 = 1,226.66/x
  3. Step 3: Cross multiply
    2,171x = 2,995.80 × 1,226.66
  4. Step 4: Simplify right side
    2,171x = 3,674,828.03
  5. Step 5: Solve for x
    x = 3,674,828.03/2,171
  6. Step 6: Final answer
    x = 1,692.69

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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.