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Finding the Fourth Proportional to 2,539.14, 3,808.44 and 690.43

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Solution

The fourth proportional to 2,539.14, 3,808.44 and 690.43 is: 1,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.14 : 3,808.44 = 690.43 : x
  2. Step 2: Convert to fraction form
    2,539.14/3,808.44 = 690.43/x
  3. Step 3: Cross multiply
    2,539.14x = 3,808.44 × 690.43
  4. Step 4: Simplify right side
    2,539.14x = 2,629,451.71
  5. Step 5: Solve for x
    x = 2,629,451.71/2,539.14
  6. Step 6: Final answer
    x = 1,035.57

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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.