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Finding the Fourth Proportional to 2,313.88, 3,193.22 and 1,266.01

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Solution

The fourth proportional to 2,313.88, 3,193.22 and 1,266.01 is: 1,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.88 : 3,193.22 = 1,266.01 : x
  2. Step 2: Convert to fraction form
    2,313.88/3,193.22 = 1,266.01/x
  3. Step 3: Cross multiply
    2,313.88x = 3,193.22 × 1,266.01
  4. Step 4: Simplify right side
    2,313.88x = 4,042,648.45
  5. Step 5: Solve for x
    x = 4,042,648.45/2,313.88
  6. Step 6: Final answer
    x = 1,747.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.