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Finding the Fourth Proportional to 4,310.44, 6,460.54 and 1,997

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Solution

The fourth proportional to 4,310.44, 6,460.54 and 1,997 is: 2,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.44 : 6,460.54 = 1,997 : x
  2. Step 2: Convert to fraction form
    4,310.44/6,460.54 = 1,997/x
  3. Step 3: Cross multiply
    4,310.44x = 6,460.54 × 1,997
  4. Step 4: Simplify right side
    4,310.44x = 12,901,698.38
  5. Step 5: Solve for x
    x = 12,901,698.38/4,310.44
  6. Step 6: Final answer
    x = 2,993.13

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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.