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Finding the Fourth Proportional to 2,536.67, 3,804.27 and 976.56

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Solution

The fourth proportional to 2,536.67, 3,804.27 and 976.56 is: 1,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.67 : 3,804.27 = 976.56 : x
  2. Step 2: Convert to fraction form
    2,536.67/3,804.27 = 976.56/x
  3. Step 3: Cross multiply
    2,536.67x = 3,804.27 × 976.56
  4. Step 4: Simplify right side
    2,536.67x = 3,715,097.91
  5. Step 5: Solve for x
    x = 3,715,097.91/2,536.67
  6. Step 6: Final answer
    x = 1,464.56

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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.