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Finding the Fourth Proportional to 2,176.24, 3,003.24 and 1,181.53

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Solution

The fourth proportional to 2,176.24, 3,003.24 and 1,181.53 is: 1,630.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.24 : 3,003.24 = 1,181.53 : x
  2. Step 2: Convert to fraction form
    2,176.24/3,003.24 = 1,181.53/x
  3. Step 3: Cross multiply
    2,176.24x = 3,003.24 × 1,181.53
  4. Step 4: Simplify right side
    2,176.24x = 3,548,418.16
  5. Step 5: Solve for x
    x = 3,548,418.16/2,176.24
  6. Step 6: Final answer
    x = 1,630.53

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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.