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Finding the Fourth Proportional to 1,943.96, 2,679.54 and 1,314.29

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Solution

The fourth proportional to 1,943.96, 2,679.54 and 1,314.29 is: 1,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.96 : 2,679.54 = 1,314.29 : x
  2. Step 2: Convert to fraction form
    1,943.96/2,679.54 = 1,314.29/x
  3. Step 3: Cross multiply
    1,943.96x = 2,679.54 × 1,314.29
  4. Step 4: Simplify right side
    1,943.96x = 3,521,692.63
  5. Step 5: Solve for x
    x = 3,521,692.63/1,943.96
  6. Step 6: Final answer
    x = 1,811.61

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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.