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Finding the Fourth Proportional to 2,656.97, 3,985.46 and 1,266.09

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Solution

The fourth proportional to 2,656.97, 3,985.46 and 1,266.09 is: 1,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.97 : 3,985.46 = 1,266.09 : x
  2. Step 2: Convert to fraction form
    2,656.97/3,985.46 = 1,266.09/x
  3. Step 3: Cross multiply
    2,656.97x = 3,985.46 × 1,266.09
  4. Step 4: Simplify right side
    2,656.97x = 5,045,944.72
  5. Step 5: Solve for x
    x = 5,045,944.72/2,656.97
  6. Step 6: Final answer
    x = 1,899.14

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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.