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Finding the Fourth Proportional to 4,271.44, 6,407.49 and 1,640.21

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Solution

The fourth proportional to 4,271.44, 6,407.49 and 1,640.21 is: 2,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.44 : 6,407.49 = 1,640.21 : x
  2. Step 2: Convert to fraction form
    4,271.44/6,407.49 = 1,640.21/x
  3. Step 3: Cross multiply
    4,271.44x = 6,407.49 × 1,640.21
  4. Step 4: Simplify right side
    4,271.44x = 10,509,629.17
  5. Step 5: Solve for x
    x = 10,509,629.17/4,271.44
  6. Step 6: Final answer
    x = 2,460.44

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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.