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Finding the Fourth Proportional to 1,941.98, 2,679.94 and 1,057.78

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Solution

The fourth proportional to 1,941.98, 2,679.94 and 1,057.78 is: 1,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.98 : 2,679.94 = 1,057.78 : x
  2. Step 2: Convert to fraction form
    1,941.98/2,679.94 = 1,057.78/x
  3. Step 3: Cross multiply
    1,941.98x = 2,679.94 × 1,057.78
  4. Step 4: Simplify right side
    1,941.98x = 2,834,791.61
  5. Step 5: Solve for x
    x = 2,834,791.61/1,941.98
  6. Step 6: Final answer
    x = 1,459.74

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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.