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Finding the Fourth Proportional to 2,466.28, 3,699.94 and 711.27

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Solution

The fourth proportional to 2,466.28, 3,699.94 and 711.27 is: 1,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.28 : 3,699.94 = 711.27 : x
  2. Step 2: Convert to fraction form
    2,466.28/3,699.94 = 711.27/x
  3. Step 3: Cross multiply
    2,466.28x = 3,699.94 × 711.27
  4. Step 4: Simplify right side
    2,466.28x = 2,631,656.32
  5. Step 5: Solve for x
    x = 2,631,656.32/2,466.28
  6. Step 6: Final answer
    x = 1,067.05

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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.