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Finding the Fourth Proportional to 2,181.76, 3,274.08 and 1,156.48

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Solution

The fourth proportional to 2,181.76, 3,274.08 and 1,156.48 is: 1,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.76 : 3,274.08 = 1,156.48 : x
  2. Step 2: Convert to fraction form
    2,181.76/3,274.08 = 1,156.48/x
  3. Step 3: Cross multiply
    2,181.76x = 3,274.08 × 1,156.48
  4. Step 4: Simplify right side
    2,181.76x = 3,786,408.04
  5. Step 5: Solve for x
    x = 3,786,408.04/2,181.76
  6. Step 6: Final answer
    x = 1,735.48

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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.