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Finding the Fourth Proportional to 2,500.84, 3,744.42 and 1,808.20

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Solution

The fourth proportional to 2,500.84, 3,744.42 and 1,808.20 is: 2,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.84 : 3,744.42 = 1,808.20 : x
  2. Step 2: Convert to fraction form
    2,500.84/3,744.42 = 1,808.20/x
  3. Step 3: Cross multiply
    2,500.84x = 3,744.42 × 1,808.20
  4. Step 4: Simplify right side
    2,500.84x = 6,770,660.24
  5. Step 5: Solve for x
    x = 6,770,660.24/2,500.84
  6. Step 6: Final answer
    x = 2,707.35

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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.