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Finding the Fourth Proportional to 1,474.47, 2,027.84 and 1,206.90

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Solution

The fourth proportional to 1,474.47, 2,027.84 and 1,206.90 is: 1,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.47 : 2,027.84 = 1,206.90 : x
  2. Step 2: Convert to fraction form
    1,474.47/2,027.84 = 1,206.90/x
  3. Step 3: Cross multiply
    1,474.47x = 2,027.84 × 1,206.90
  4. Step 4: Simplify right side
    1,474.47x = 2,447,394.06
  5. Step 5: Solve for x
    x = 2,447,394.06/1,474.47
  6. Step 6: Final answer
    x = 1,659.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.