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Finding the Fourth Proportional to 1,647.69, 2,273.25 and 1,175.64

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Solution

The fourth proportional to 1,647.69, 2,273.25 and 1,175.64 is: 1,621.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.69 : 2,273.25 = 1,175.64 : x
  2. Step 2: Convert to fraction form
    1,647.69/2,273.25 = 1,175.64/x
  3. Step 3: Cross multiply
    1,647.69x = 2,273.25 × 1,175.64
  4. Step 4: Simplify right side
    1,647.69x = 2,672,523.63
  5. Step 5: Solve for x
    x = 2,672,523.63/1,647.69
  6. Step 6: Final answer
    x = 1,621.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.