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Finding the Fourth Proportional to 1,640.75, 2,458.96 and 666.32

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Solution

The fourth proportional to 1,640.75, 2,458.96 and 666.32 is: 998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.75 : 2,458.96 = 666.32 : x
  2. Step 2: Convert to fraction form
    1,640.75/2,458.96 = 666.32/x
  3. Step 3: Cross multiply
    1,640.75x = 2,458.96 × 666.32
  4. Step 4: Simplify right side
    1,640.75x = 1,638,440.27
  5. Step 5: Solve for x
    x = 1,638,440.27/1,640.75
  6. Step 6: Final answer
    x = 998.60

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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.