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Finding the Fourth Proportional to 1,268.89, 1,889.10 and 1,262.81

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Solution

The fourth proportional to 1,268.89, 1,889.10 and 1,262.81 is: 1,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.89 : 1,889.10 = 1,262.81 : x
  2. Step 2: Convert to fraction form
    1,268.89/1,889.10 = 1,262.81/x
  3. Step 3: Cross multiply
    1,268.89x = 1,889.10 × 1,262.81
  4. Step 4: Simplify right side
    1,268.89x = 2,385,579.09
  5. Step 5: Solve for x
    x = 2,385,579.09/1,268.89
  6. Step 6: Final answer
    x = 1,880.06

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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.