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Finding the Fourth Proportional to 1,640.21, 2,263.40 and 932.03

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Solution

The fourth proportional to 1,640.21, 2,263.40 and 932.03 is: 1,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.21 : 2,263.40 = 932.03 : x
  2. Step 2: Convert to fraction form
    1,640.21/2,263.40 = 932.03/x
  3. Step 3: Cross multiply
    1,640.21x = 2,263.40 × 932.03
  4. Step 4: Simplify right side
    1,640.21x = 2,109,556.70
  5. Step 5: Solve for x
    x = 2,109,556.70/1,640.21
  6. Step 6: Final answer
    x = 1,286.15

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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.