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Finding the Fourth Proportional to 1,954.41, 2,697.35 and 1,257.81

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Solution

The fourth proportional to 1,954.41, 2,697.35 and 1,257.81 is: 1,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.41 : 2,697.35 = 1,257.81 : x
  2. Step 2: Convert to fraction form
    1,954.41/2,697.35 = 1,257.81/x
  3. Step 3: Cross multiply
    1,954.41x = 2,697.35 × 1,257.81
  4. Step 4: Simplify right side
    1,954.41x = 3,392,747.51
  5. Step 5: Solve for x
    x = 3,392,747.51/1,954.41
  6. Step 6: Final answer
    x = 1,735.94

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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.