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Finding the Fourth Proportional to 2,066.92, 3,094.86 and 1,738.87

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Solution

The fourth proportional to 2,066.92, 3,094.86 and 1,738.87 is: 2,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.92 : 3,094.86 = 1,738.87 : x
  2. Step 2: Convert to fraction form
    2,066.92/3,094.86 = 1,738.87/x
  3. Step 3: Cross multiply
    2,066.92x = 3,094.86 × 1,738.87
  4. Step 4: Simplify right side
    2,066.92x = 5,381,559.21
  5. Step 5: Solve for x
    x = 5,381,559.21/2,066.92
  6. Step 6: Final answer
    x = 2,603.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.