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Finding the Fourth Proportional to 2,173.66, 2,997.27 and 1,615.16

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Solution

The fourth proportional to 2,173.66, 2,997.27 and 1,615.16 is: 2,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.66 : 2,997.27 = 1,615.16 : x
  2. Step 2: Convert to fraction form
    2,173.66/2,997.27 = 1,615.16/x
  3. Step 3: Cross multiply
    2,173.66x = 2,997.27 × 1,615.16
  4. Step 4: Simplify right side
    2,173.66x = 4,841,078.11
  5. Step 5: Solve for x
    x = 4,841,078.11/2,173.66
  6. Step 6: Final answer
    x = 2,227.16

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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.