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Finding the Fourth Proportional to 2,697.08, 4,045.74 and 2,081.72

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Solution

The fourth proportional to 2,697.08, 4,045.74 and 2,081.72 is: 3,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.08 : 4,045.74 = 2,081.72 : x
  2. Step 2: Convert to fraction form
    2,697.08/4,045.74 = 2,081.72/x
  3. Step 3: Cross multiply
    2,697.08x = 4,045.74 × 2,081.72
  4. Step 4: Simplify right side
    2,697.08x = 8,422,097.87
  5. Step 5: Solve for x
    x = 8,422,097.87/2,697.08
  6. Step 6: Final answer
    x = 3,122.67

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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.