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Finding the Fourth Proportional to 1,457.64, 1,997.09 and 1,439.43

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Solution

The fourth proportional to 1,457.64, 1,997.09 and 1,439.43 is: 1,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.64 : 1,997.09 = 1,439.43 : x
  2. Step 2: Convert to fraction form
    1,457.64/1,997.09 = 1,439.43/x
  3. Step 3: Cross multiply
    1,457.64x = 1,997.09 × 1,439.43
  4. Step 4: Simplify right side
    1,457.64x = 2,874,664.06
  5. Step 5: Solve for x
    x = 2,874,664.06/1,457.64
  6. Step 6: Final answer
    x = 1,972.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.