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Finding the Fourth Proportional to 1,474.76, 2,198.26 and 1,427.60

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Solution

The fourth proportional to 1,474.76, 2,198.26 and 1,427.60 is: 2,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.76 : 2,198.26 = 1,427.60 : x
  2. Step 2: Convert to fraction form
    1,474.76/2,198.26 = 1,427.60/x
  3. Step 3: Cross multiply
    1,474.76x = 2,198.26 × 1,427.60
  4. Step 4: Simplify right side
    1,474.76x = 3,138,235.98
  5. Step 5: Solve for x
    x = 3,138,235.98/1,474.76
  6. Step 6: Final answer
    x = 2,127.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.