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Finding the Fourth Proportional to 2,046.67, 3,069.55 and 1,266.64

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Solution

The fourth proportional to 2,046.67, 3,069.55 and 1,266.64 is: 1,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.67 : 3,069.55 = 1,266.64 : x
  2. Step 2: Convert to fraction form
    2,046.67/3,069.55 = 1,266.64/x
  3. Step 3: Cross multiply
    2,046.67x = 3,069.55 × 1,266.64
  4. Step 4: Simplify right side
    2,046.67x = 3,888,001.60
  5. Step 5: Solve for x
    x = 3,888,001.60/2,046.67
  6. Step 6: Final answer
    x = 1,899.67

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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.