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Finding the Fourth Proportional to 1,505.63, 2,241.99 and 1,450.27

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Solution

The fourth proportional to 1,505.63, 2,241.99 and 1,450.27 is: 2,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.63 : 2,241.99 = 1,450.27 : x
  2. Step 2: Convert to fraction form
    1,505.63/2,241.99 = 1,450.27/x
  3. Step 3: Cross multiply
    1,505.63x = 2,241.99 × 1,450.27
  4. Step 4: Simplify right side
    1,505.63x = 3,251,490.84
  5. Step 5: Solve for x
    x = 3,251,490.84/1,505.63
  6. Step 6: Final answer
    x = 2,159.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.