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Finding the Fourth Proportional to 2,305.26, 3,457.62 and 766.26

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Solution

The fourth proportional to 2,305.26, 3,457.62 and 766.26 is: 1,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.26 : 3,457.62 = 766.26 : x
  2. Step 2: Convert to fraction form
    2,305.26/3,457.62 = 766.26/x
  3. Step 3: Cross multiply
    2,305.26x = 3,457.62 × 766.26
  4. Step 4: Simplify right side
    2,305.26x = 2,649,435.90
  5. Step 5: Solve for x
    x = 2,649,435.90/2,305.26
  6. Step 6: Final answer
    x = 1,149.30

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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.