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Finding the Fourth Proportional to 2,536.79, 3,804.46 and 976.69

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Solution

The fourth proportional to 2,536.79, 3,804.46 and 976.69 is: 1,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.79 : 3,804.46 = 976.69 : x
  2. Step 2: Convert to fraction form
    2,536.79/3,804.46 = 976.69/x
  3. Step 3: Cross multiply
    2,536.79x = 3,804.46 × 976.69
  4. Step 4: Simplify right side
    2,536.79x = 3,715,778.04
  5. Step 5: Solve for x
    x = 3,715,778.04/2,536.79
  6. Step 6: Final answer
    x = 1,464.76

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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.