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Finding the Fourth Proportional to 1,640.01, 2,263.26 and 931.87

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Solution

The fourth proportional to 1,640.01, 2,263.26 and 931.87 is: 1,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.01 : 2,263.26 = 931.87 : x
  2. Step 2: Convert to fraction form
    1,640.01/2,263.26 = 931.87/x
  3. Step 3: Cross multiply
    1,640.01x = 2,263.26 × 931.87
  4. Step 4: Simplify right side
    1,640.01x = 2,109,059.44
  5. Step 5: Solve for x
    x = 2,109,059.44/1,640.01
  6. Step 6: Final answer
    x = 1,286.01

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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.