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Finding the Fourth Proportional to 1,636.14, 2,257.77 and 927.90

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Solution

The fourth proportional to 1,636.14, 2,257.77 and 927.90 is: 1,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.14 : 2,257.77 = 927.90 : x
  2. Step 2: Convert to fraction form
    1,636.14/2,257.77 = 927.90/x
  3. Step 3: Cross multiply
    1,636.14x = 2,257.77 × 927.90
  4. Step 4: Simplify right side
    1,636.14x = 2,094,984.78
  5. Step 5: Solve for x
    x = 2,094,984.78/1,636.14
  6. Step 6: Final answer
    x = 1,280.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.