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Finding the Fourth Proportional to 1,941.50, 2,679.20 and 1,057.29

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Solution

The fourth proportional to 1,941.50, 2,679.20 and 1,057.29 is: 1,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.50 : 2,679.20 = 1,057.29 : x
  2. Step 2: Convert to fraction form
    1,941.50/2,679.20 = 1,057.29/x
  3. Step 3: Cross multiply
    1,941.50x = 2,679.20 × 1,057.29
  4. Step 4: Simplify right side
    1,941.50x = 2,832,691.37
  5. Step 5: Solve for x
    x = 2,832,691.37/1,941.50
  6. Step 6: Final answer
    x = 1,459.02

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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.