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Finding the Fourth Proportional to 1,268.76, 1,886.02 and 1,231.39

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Solution

The fourth proportional to 1,268.76, 1,886.02 and 1,231.39 is: 1,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.76 : 1,886.02 = 1,231.39 : x
  2. Step 2: Convert to fraction form
    1,268.76/1,886.02 = 1,231.39/x
  3. Step 3: Cross multiply
    1,268.76x = 1,886.02 × 1,231.39
  4. Step 4: Simplify right side
    1,268.76x = 2,322,426.17
  5. Step 5: Solve for x
    x = 2,322,426.17/1,268.76
  6. Step 6: Final answer
    x = 1,830.47

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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.