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Finding the Fourth Proportional to 1,938.02, 2,906.40 and 639.23

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Solution

The fourth proportional to 1,938.02, 2,906.40 and 639.23 is: 958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.02 : 2,906.40 = 639.23 : x
  2. Step 2: Convert to fraction form
    1,938.02/2,906.40 = 639.23/x
  3. Step 3: Cross multiply
    1,938.02x = 2,906.40 × 639.23
  4. Step 4: Simplify right side
    1,938.02x = 1,857,858.07
  5. Step 5: Solve for x
    x = 1,857,858.07/1,938.02
  6. Step 6: Final answer
    x = 958.64

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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.