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Finding the Fourth Proportional to 3,271.77, 4,910.43 and 1,424.37

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Solution

The fourth proportional to 3,271.77, 4,910.43 and 1,424.37 is: 2,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.77 : 4,910.43 = 1,424.37 : x
  2. Step 2: Convert to fraction form
    3,271.77/4,910.43 = 1,424.37/x
  3. Step 3: Cross multiply
    3,271.77x = 4,910.43 × 1,424.37
  4. Step 4: Simplify right side
    3,271.77x = 6,994,269.18
  5. Step 5: Solve for x
    x = 6,994,269.18/3,271.77
  6. Step 6: Final answer
    x = 2,137.76

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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.