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Finding the Fourth Proportional to 2,773.26, 4,160.81 and 1,312.22

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Solution

The fourth proportional to 2,773.26, 4,160.81 and 1,312.22 is: 1,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.26 : 4,160.81 = 1,312.22 : x
  2. Step 2: Convert to fraction form
    2,773.26/4,160.81 = 1,312.22/x
  3. Step 3: Cross multiply
    2,773.26x = 4,160.81 × 1,312.22
  4. Step 4: Simplify right side
    2,773.26x = 5,459,911.78
  5. Step 5: Solve for x
    x = 5,459,911.78/2,773.26
  6. Step 6: Final answer
    x = 1,968.77

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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.