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Finding the Fourth Proportional to 3,138.77, 4,705.43 and 1,493.06

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Solution

The fourth proportional to 3,138.77, 4,705.43 and 1,493.06 is: 2,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.77 : 4,705.43 = 1,493.06 : x
  2. Step 2: Convert to fraction form
    3,138.77/4,705.43 = 1,493.06/x
  3. Step 3: Cross multiply
    3,138.77x = 4,705.43 × 1,493.06
  4. Step 4: Simplify right side
    3,138.77x = 7,025,458.32
  5. Step 5: Solve for x
    x = 7,025,458.32/3,138.77
  6. Step 6: Final answer
    x = 2,238.28

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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.