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Finding the Fourth Proportional to 3,143.70, 4,710.39 and 1,911.47

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Solution

The fourth proportional to 3,143.70, 4,710.39 and 1,911.47 is: 2,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.70 : 4,710.39 = 1,911.47 : x
  2. Step 2: Convert to fraction form
    3,143.70/4,710.39 = 1,911.47/x
  3. Step 3: Cross multiply
    3,143.70x = 4,710.39 × 1,911.47
  4. Step 4: Simplify right side
    3,143.70x = 9,003,745.62
  5. Step 5: Solve for x
    x = 9,003,745.62/3,143.70
  6. Step 6: Final answer
    x = 2,864.06

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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.