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Finding the Fourth Proportional to 1,941.94, 2,679.87 and 1,057.74

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Solution

The fourth proportional to 1,941.94, 2,679.87 and 1,057.74 is: 1,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.94 : 2,679.87 = 1,057.74 : x
  2. Step 2: Convert to fraction form
    1,941.94/2,679.87 = 1,057.74/x
  3. Step 3: Cross multiply
    1,941.94x = 2,679.87 × 1,057.74
  4. Step 4: Simplify right side
    1,941.94x = 2,834,605.69
  5. Step 5: Solve for x
    x = 2,834,605.69/1,941.94
  6. Step 6: Final answer
    x = 1,459.68

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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.