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Finding the Fourth Proportional to 1,640.71, 2,458.32 and 1,296.28

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Solution

The fourth proportional to 1,640.71, 2,458.32 and 1,296.28 is: 1,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.71 : 2,458.32 = 1,296.28 : x
  2. Step 2: Convert to fraction form
    1,640.71/2,458.32 = 1,296.28/x
  3. Step 3: Cross multiply
    1,640.71x = 2,458.32 × 1,296.28
  4. Step 4: Simplify right side
    1,640.71x = 3,186,671.05
  5. Step 5: Solve for x
    x = 3,186,671.05/1,640.71
  6. Step 6: Final answer
    x = 1,942.25

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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.