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Finding the Fourth Proportional to 2,263.54, 3,123.89 and 1,268.81

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Solution

The fourth proportional to 2,263.54, 3,123.89 and 1,268.81 is: 1,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.54 : 3,123.89 = 1,268.81 : x
  2. Step 2: Convert to fraction form
    2,263.54/3,123.89 = 1,268.81/x
  3. Step 3: Cross multiply
    2,263.54x = 3,123.89 × 1,268.81
  4. Step 4: Simplify right side
    2,263.54x = 3,963,616.53
  5. Step 5: Solve for x
    x = 3,963,616.53/2,263.54
  6. Step 6: Final answer
    x = 1,751.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.