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Finding the Fourth Proportional to 3,143.70, 4,717.35 and 1,197.30

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Solution

The fourth proportional to 3,143.70, 4,717.35 and 1,197.30 is: 1,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.70 : 4,717.35 = 1,197.30 : x
  2. Step 2: Convert to fraction form
    3,143.70/4,717.35 = 1,197.30/x
  3. Step 3: Cross multiply
    3,143.70x = 4,717.35 × 1,197.30
  4. Step 4: Simplify right side
    3,143.70x = 5,648,083.16
  5. Step 5: Solve for x
    x = 5,648,083.16/3,143.70
  6. Step 6: Final answer
    x = 1,796.64

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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.