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Finding the Fourth Proportional to 3,142.81, 4,718.34 and 2,107.45

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Solution

The fourth proportional to 3,142.81, 4,718.34 and 2,107.45 is: 3,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.81 : 4,718.34 = 2,107.45 : x
  2. Step 2: Convert to fraction form
    3,142.81/4,718.34 = 2,107.45/x
  3. Step 3: Cross multiply
    3,142.81x = 4,718.34 × 2,107.45
  4. Step 4: Simplify right side
    3,142.81x = 9,943,658.22
  5. Step 5: Solve for x
    x = 9,943,658.22/3,142.81
  6. Step 6: Final answer
    x = 3,163.94

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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.