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Finding the Fourth Proportional to 1,971.05, 2,956.52 and 490.26

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Solution

The fourth proportional to 1,971.05, 2,956.52 and 490.26 is: 735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.05 : 2,956.52 = 490.26 : x
  2. Step 2: Convert to fraction form
    1,971.05/2,956.52 = 490.26/x
  3. Step 3: Cross multiply
    1,971.05x = 2,956.52 × 490.26
  4. Step 4: Simplify right side
    1,971.05x = 1,449,464.72
  5. Step 5: Solve for x
    x = 1,449,464.72/1,971.05
  6. Step 6: Final answer
    x = 735.38

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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.