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Finding the Fourth Proportional to 3,408.51, 4,703.67 and 1,896.03

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Solution

The fourth proportional to 3,408.51, 4,703.67 and 1,896.03 is: 2,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.51 : 4,703.67 = 1,896.03 : x
  2. Step 2: Convert to fraction form
    3,408.51/4,703.67 = 1,896.03/x
  3. Step 3: Cross multiply
    3,408.51x = 4,703.67 × 1,896.03
  4. Step 4: Simplify right side
    3,408.51x = 8,918,311.19
  5. Step 5: Solve for x
    x = 8,918,311.19/3,408.51
  6. Step 6: Final answer
    x = 2,616.49

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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.