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Finding the Fourth Proportional to 1,942.54, 2,679.48 and 1,156

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Solution

The fourth proportional to 1,942.54, 2,679.48 and 1,156 is: 1,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.54 : 2,679.48 = 1,156 : x
  2. Step 2: Convert to fraction form
    1,942.54/2,679.48 = 1,156/x
  3. Step 3: Cross multiply
    1,942.54x = 2,679.48 × 1,156
  4. Step 4: Simplify right side
    1,942.54x = 3,097,478.88
  5. Step 5: Solve for x
    x = 3,097,478.88/1,942.54
  6. Step 6: Final answer
    x = 1,594.55

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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.