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Finding the Fourth Proportional to 1,994, 2,749.08 and 1,743.04

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Solution

The fourth proportional to 1,994, 2,749.08 and 1,743.04 is: 2,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994 : 2,749.08 = 1,743.04 : x
  2. Step 2: Convert to fraction form
    1,994/2,749.08 = 1,743.04/x
  3. Step 3: Cross multiply
    1,994x = 2,749.08 × 1,743.04
  4. Step 4: Simplify right side
    1,994x = 4,791,756.40
  5. Step 5: Solve for x
    x = 4,791,756.40/1,994
  6. Step 6: Final answer
    x = 2,403.09

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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.