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Finding the Fourth Proportional to 2,536.63, 3,805.25 and 976.27

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Solution

The fourth proportional to 2,536.63, 3,805.25 and 976.27 is: 1,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.63 : 3,805.25 = 976.27 : x
  2. Step 2: Convert to fraction form
    2,536.63/3,805.25 = 976.27/x
  3. Step 3: Cross multiply
    2,536.63x = 3,805.25 × 976.27
  4. Step 4: Simplify right side
    2,536.63x = 3,714,951.42
  5. Step 5: Solve for x
    x = 3,714,951.42/2,536.63
  6. Step 6: Final answer
    x = 1,464.52

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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.