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Finding the Fourth Proportional to 6,172.98, 9,260.90 and 1,790.30

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Solution

The fourth proportional to 6,172.98, 9,260.90 and 1,790.30 is: 2,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.98 : 9,260.90 = 1,790.30 : x
  2. Step 2: Convert to fraction form
    6,172.98/9,260.90 = 1,790.30/x
  3. Step 3: Cross multiply
    6,172.98x = 9,260.90 × 1,790.30
  4. Step 4: Simplify right side
    6,172.98x = 16,579,810.18
  5. Step 5: Solve for x
    x = 16,579,810.18/6,172.98
  6. Step 6: Final answer
    x = 2,685.87

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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.