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Finding the Fourth Proportional to 1,635.78, 2,451.12 and 976.38

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Solution

The fourth proportional to 1,635.78, 2,451.12 and 976.38 is: 1,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.78 : 2,451.12 = 976.38 : x
  2. Step 2: Convert to fraction form
    1,635.78/2,451.12 = 976.38/x
  3. Step 3: Cross multiply
    1,635.78x = 2,451.12 × 976.38
  4. Step 4: Simplify right side
    1,635.78x = 2,393,224.55
  5. Step 5: Solve for x
    x = 2,393,224.55/1,635.78
  6. Step 6: Final answer
    x = 1,463.05

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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.