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Finding the Fourth Proportional to 4,274.37, 6,412.23 and 1,641.77

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Solution

The fourth proportional to 4,274.37, 6,412.23 and 1,641.77 is: 2,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.37 : 6,412.23 = 1,641.77 : x
  2. Step 2: Convert to fraction form
    4,274.37/6,412.23 = 1,641.77/x
  3. Step 3: Cross multiply
    4,274.37x = 6,412.23 × 1,641.77
  4. Step 4: Simplify right side
    4,274.37x = 10,527,406.85
  5. Step 5: Solve for x
    x = 10,527,406.85/4,274.37
  6. Step 6: Final answer
    x = 2,462.91

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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.