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Finding the Fourth Proportional to 1,466.12, 2,196.12 and 879.26

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Solution

The fourth proportional to 1,466.12, 2,196.12 and 879.26 is: 1,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.12 : 2,196.12 = 879.26 : x
  2. Step 2: Convert to fraction form
    1,466.12/2,196.12 = 879.26/x
  3. Step 3: Cross multiply
    1,466.12x = 2,196.12 × 879.26
  4. Step 4: Simplify right side
    1,466.12x = 1,930,969.26
  5. Step 5: Solve for x
    x = 1,930,969.26/1,466.12
  6. Step 6: Final answer
    x = 1,317.06

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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.