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Finding the Fourth Proportional to 1,466.14, 2,022.77 and 836.21

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Solution

The fourth proportional to 1,466.14, 2,022.77 and 836.21 is: 1,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.14 : 2,022.77 = 836.21 : x
  2. Step 2: Convert to fraction form
    1,466.14/2,022.77 = 836.21/x
  3. Step 3: Cross multiply
    1,466.14x = 2,022.77 × 836.21
  4. Step 4: Simplify right side
    1,466.14x = 1,691,458.41
  5. Step 5: Solve for x
    x = 1,691,458.41/1,466.14
  6. Step 6: Final answer
    x = 1,153.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.