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Finding the Fourth Proportional to 3,453.84, 5,180.76 and 1,261.37

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Solution

The fourth proportional to 3,453.84, 5,180.76 and 1,261.37 is: 1,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.84 : 5,180.76 = 1,261.37 : x
  2. Step 2: Convert to fraction form
    3,453.84/5,180.76 = 1,261.37/x
  3. Step 3: Cross multiply
    3,453.84x = 5,180.76 × 1,261.37
  4. Step 4: Simplify right side
    3,453.84x = 6,534,868.19
  5. Step 5: Solve for x
    x = 6,534,868.19/3,453.84
  6. Step 6: Final answer
    x = 1,892.06

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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.