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Finding the Fourth Proportional to 1,943.60, 2,914.33 and 1,328

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Solution

The fourth proportional to 1,943.60, 2,914.33 and 1,328 is: 1,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.60 : 2,914.33 = 1,328 : x
  2. Step 2: Convert to fraction form
    1,943.60/2,914.33 = 1,328/x
  3. Step 3: Cross multiply
    1,943.60x = 2,914.33 × 1,328
  4. Step 4: Simplify right side
    1,943.60x = 3,870,230.24
  5. Step 5: Solve for x
    x = 3,870,230.24/1,943.60
  6. Step 6: Final answer
    x = 1,991.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.