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Finding the Fourth Proportional to 2,953.66, 4,074.69 and 1,906.06

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Solution

The fourth proportional to 2,953.66, 4,074.69 and 1,906.06 is: 2,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.66 : 4,074.69 = 1,906.06 : x
  2. Step 2: Convert to fraction form
    2,953.66/4,074.69 = 1,906.06/x
  3. Step 3: Cross multiply
    2,953.66x = 4,074.69 × 1,906.06
  4. Step 4: Simplify right side
    2,953.66x = 7,766,603.62
  5. Step 5: Solve for x
    x = 7,766,603.62/2,953.66
  6. Step 6: Final answer
    x = 2,629.48

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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.