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Finding the Fourth Proportional to 3,143.08, 4,714.02 and 1,195.48

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Solution

The fourth proportional to 3,143.08, 4,714.02 and 1,195.48 is: 1,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.08 : 4,714.02 = 1,195.48 : x
  2. Step 2: Convert to fraction form
    3,143.08/4,714.02 = 1,195.48/x
  3. Step 3: Cross multiply
    3,143.08x = 4,714.02 × 1,195.48
  4. Step 4: Simplify right side
    3,143.08x = 5,635,516.63
  5. Step 5: Solve for x
    x = 5,635,516.63/3,143.08
  6. Step 6: Final answer
    x = 1,792.99

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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.