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Finding the Fourth Proportional to 1,494.49, 2,241.70 and 1,449.38

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Solution

The fourth proportional to 1,494.49, 2,241.70 and 1,449.38 is: 2,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.49 : 2,241.70 = 1,449.38 : x
  2. Step 2: Convert to fraction form
    1,494.49/2,241.70 = 1,449.38/x
  3. Step 3: Cross multiply
    1,494.49x = 2,241.70 × 1,449.38
  4. Step 4: Simplify right side
    1,494.49x = 3,249,075.15
  5. Step 5: Solve for x
    x = 3,249,075.15/1,494.49
  6. Step 6: Final answer
    x = 2,174.04

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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.