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Finding the Fourth Proportional to 1,938.12, 2,905.74 and 639.24

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Solution

The fourth proportional to 1,938.12, 2,905.74 and 639.24 is: 958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.12 : 2,905.74 = 639.24 : x
  2. Step 2: Convert to fraction form
    1,938.12/2,905.74 = 639.24/x
  3. Step 3: Cross multiply
    1,938.12x = 2,905.74 × 639.24
  4. Step 4: Simplify right side
    1,938.12x = 1,857,465.24
  5. Step 5: Solve for x
    x = 1,857,465.24/1,938.12
  6. Step 6: Final answer
    x = 958.39

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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.