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Finding the Fourth Proportional to 3,143.62, 4,714.86 and 1,195.18

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Solution

The fourth proportional to 3,143.62, 4,714.86 and 1,195.18 is: 1,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.62 : 4,714.86 = 1,195.18 : x
  2. Step 2: Convert to fraction form
    3,143.62/4,714.86 = 1,195.18/x
  3. Step 3: Cross multiply
    3,143.62x = 4,714.86 × 1,195.18
  4. Step 4: Simplify right side
    3,143.62x = 5,635,106.37
  5. Step 5: Solve for x
    x = 5,635,106.37/3,143.62
  6. Step 6: Final answer
    x = 1,792.55

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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.