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Finding the Fourth Proportional to 2,654.39, 3,980.76 and 1,266.99

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Solution

The fourth proportional to 2,654.39, 3,980.76 and 1,266.99 is: 1,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.39 : 3,980.76 = 1,266.99 : x
  2. Step 2: Convert to fraction form
    2,654.39/3,980.76 = 1,266.99/x
  3. Step 3: Cross multiply
    2,654.39x = 3,980.76 × 1,266.99
  4. Step 4: Simplify right side
    2,654.39x = 5,043,583.11
  5. Step 5: Solve for x
    x = 5,043,583.11/2,654.39
  6. Step 6: Final answer
    x = 1,900.09

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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.