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Finding the Fourth Proportional to 1,474.75, 2,209.29 and 1,388.96

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Solution

The fourth proportional to 1,474.75, 2,209.29 and 1,388.96 is: 2,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.75 : 2,209.29 = 1,388.96 : x
  2. Step 2: Convert to fraction form
    1,474.75/2,209.29 = 1,388.96/x
  3. Step 3: Cross multiply
    1,474.75x = 2,209.29 × 1,388.96
  4. Step 4: Simplify right side
    1,474.75x = 3,068,615.44
  5. Step 5: Solve for x
    x = 3,068,615.44/1,474.75
  6. Step 6: Final answer
    x = 2,080.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.