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Finding the Fourth Proportional to 1,938.32, 2,907.75 and 640.16

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Solution

The fourth proportional to 1,938.32, 2,907.75 and 640.16 is: 960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.32 : 2,907.75 = 640.16 : x
  2. Step 2: Convert to fraction form
    1,938.32/2,907.75 = 640.16/x
  3. Step 3: Cross multiply
    1,938.32x = 2,907.75 × 640.16
  4. Step 4: Simplify right side
    1,938.32x = 1,861,425.24
  5. Step 5: Solve for x
    x = 1,861,425.24/1,938.32
  6. Step 6: Final answer
    x = 960.33

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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.