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Finding the Fourth Proportional to 1,994.14, 2,749.06 and 1,402.84

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Solution

The fourth proportional to 1,994.14, 2,749.06 and 1,402.84 is: 1,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.14 : 2,749.06 = 1,402.84 : x
  2. Step 2: Convert to fraction form
    1,994.14/2,749.06 = 1,402.84/x
  3. Step 3: Cross multiply
    1,994.14x = 2,749.06 × 1,402.84
  4. Step 4: Simplify right side
    1,994.14x = 3,856,480.95
  5. Step 5: Solve for x
    x = 3,856,480.95/1,994.14
  6. Step 6: Final answer
    x = 1,933.91

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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.