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Finding the Fourth Proportional to 1,647.90, 2,471.79 and 415.32

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Solution

The fourth proportional to 1,647.90, 2,471.79 and 415.32 is: 622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.90 : 2,471.79 = 415.32 : x
  2. Step 2: Convert to fraction form
    1,647.90/2,471.79 = 415.32/x
  3. Step 3: Cross multiply
    1,647.90x = 2,471.79 × 415.32
  4. Step 4: Simplify right side
    1,647.90x = 1,026,583.82
  5. Step 5: Solve for x
    x = 1,026,583.82/1,647.90
  6. Step 6: Final answer
    x = 622.96

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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.