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Finding the Fourth Proportional to 4,271.80, 6,406.50 and 2,080.60

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Solution

The fourth proportional to 4,271.80, 6,406.50 and 2,080.60 is: 3,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.80 : 6,406.50 = 2,080.60 : x
  2. Step 2: Convert to fraction form
    4,271.80/6,406.50 = 2,080.60/x
  3. Step 3: Cross multiply
    4,271.80x = 6,406.50 × 2,080.60
  4. Step 4: Simplify right side
    4,271.80x = 13,329,363.90
  5. Step 5: Solve for x
    x = 13,329,363.90/4,271.80
  6. Step 6: Final answer
    x = 3,120.32

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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.