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Finding the Fourth Proportional to 2,114.90, 3,173.26 and 816.07

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Solution

The fourth proportional to 2,114.90, 3,173.26 and 816.07 is: 1,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.90 : 3,173.26 = 816.07 : x
  2. Step 2: Convert to fraction form
    2,114.90/3,173.26 = 816.07/x
  3. Step 3: Cross multiply
    2,114.90x = 3,173.26 × 816.07
  4. Step 4: Simplify right side
    2,114.90x = 2,589,602.29
  5. Step 5: Solve for x
    x = 2,589,602.29/2,114.90
  6. Step 6: Final answer
    x = 1,224.46

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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.