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Finding the Fourth Proportional to 1,994.61, 2,749.70 and 1,403.31

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Solution

The fourth proportional to 1,994.61, 2,749.70 and 1,403.31 is: 1,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.61 : 2,749.70 = 1,403.31 : x
  2. Step 2: Convert to fraction form
    1,994.61/2,749.70 = 1,403.31/x
  3. Step 3: Cross multiply
    1,994.61x = 2,749.70 × 1,403.31
  4. Step 4: Simplify right side
    1,994.61x = 3,858,685.02
  5. Step 5: Solve for x
    x = 3,858,685.02/1,994.61
  6. Step 6: Final answer
    x = 1,934.56

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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.