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Finding the Fourth Proportional to 1,941.95, 2,679.89 and 1,057.76

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Solution

The fourth proportional to 1,941.95, 2,679.89 and 1,057.76 is: 1,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.95 : 2,679.89 = 1,057.76 : x
  2. Step 2: Convert to fraction form
    1,941.95/2,679.89 = 1,057.76/x
  3. Step 3: Cross multiply
    1,941.95x = 2,679.89 × 1,057.76
  4. Step 4: Simplify right side
    1,941.95x = 2,834,667.05
  5. Step 5: Solve for x
    x = 2,834,667.05/1,941.95
  6. Step 6: Final answer
    x = 1,459.71

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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.