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Finding the Fourth Proportional to 2,182.74, 3,274.11 and 1,143.05

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Solution

The fourth proportional to 2,182.74, 3,274.11 and 1,143.05 is: 1,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.74 : 3,274.11 = 1,143.05 : x
  2. Step 2: Convert to fraction form
    2,182.74/3,274.11 = 1,143.05/x
  3. Step 3: Cross multiply
    2,182.74x = 3,274.11 × 1,143.05
  4. Step 4: Simplify right side
    2,182.74x = 3,742,458.28
  5. Step 5: Solve for x
    x = 3,742,458.28/2,182.74
  6. Step 6: Final answer
    x = 1,714.57

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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.