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Finding the Fourth Proportional to 1,995.17, 3,002.26 and 1,646.31

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Solution

The fourth proportional to 1,995.17, 3,002.26 and 1,646.31 is: 2,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.17 : 3,002.26 = 1,646.31 : x
  2. Step 2: Convert to fraction form
    1,995.17/3,002.26 = 1,646.31/x
  3. Step 3: Cross multiply
    1,995.17x = 3,002.26 × 1,646.31
  4. Step 4: Simplify right side
    1,995.17x = 4,942,646.54
  5. Step 5: Solve for x
    x = 4,942,646.54/1,995.17
  6. Step 6: Final answer
    x = 2,477.31

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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.