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Finding the Fourth Proportional to 1,555.73, 2,146.79 and 926.44

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Solution

The fourth proportional to 1,555.73, 2,146.79 and 926.44 is: 1,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.73 : 2,146.79 = 926.44 : x
  2. Step 2: Convert to fraction form
    1,555.73/2,146.79 = 926.44/x
  3. Step 3: Cross multiply
    1,555.73x = 2,146.79 × 926.44
  4. Step 4: Simplify right side
    1,555.73x = 1,988,867.77
  5. Step 5: Solve for x
    x = 1,988,867.77/1,555.73
  6. Step 6: Final answer
    x = 1,278.41

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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.