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Finding the Fourth Proportional to 1,494.81, 2,241.41 and 762.57

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Solution

The fourth proportional to 1,494.81, 2,241.41 and 762.57 is: 1,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.81 : 2,241.41 = 762.57 : x
  2. Step 2: Convert to fraction form
    1,494.81/2,241.41 = 762.57/x
  3. Step 3: Cross multiply
    1,494.81x = 2,241.41 × 762.57
  4. Step 4: Simplify right side
    1,494.81x = 1,709,228.21
  5. Step 5: Solve for x
    x = 1,709,228.21/1,494.81
  6. Step 6: Final answer
    x = 1,143.44

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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.