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Finding the Fourth Proportional to 1,640.39, 2,458.76 and 772.88

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Solution

The fourth proportional to 1,640.39, 2,458.76 and 772.88 is: 1,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.39 : 2,458.76 = 772.88 : x
  2. Step 2: Convert to fraction form
    1,640.39/2,458.76 = 772.88/x
  3. Step 3: Cross multiply
    1,640.39x = 2,458.76 × 772.88
  4. Step 4: Simplify right side
    1,640.39x = 1,900,310.27
  5. Step 5: Solve for x
    x = 1,900,310.27/1,640.39
  6. Step 6: Final answer
    x = 1,158.45

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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.