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Finding the Fourth Proportional to 4,264.01, 6,391 and 1,629.78

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Solution

The fourth proportional to 4,264.01, 6,391 and 1,629.78 is: 2,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.01 : 6,391 = 1,629.78 : x
  2. Step 2: Convert to fraction form
    4,264.01/6,391 = 1,629.78/x
  3. Step 3: Cross multiply
    4,264.01x = 6,391 × 1,629.78
  4. Step 4: Simplify right side
    4,264.01x = 10,415,923.98
  5. Step 5: Solve for x
    x = 10,415,923.98/4,264.01
  6. Step 6: Final answer
    x = 2,442.75

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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.