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Finding the Fourth Proportional to 3,408.34, 4,703.93 and 1,916.32

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Solution

The fourth proportional to 3,408.34, 4,703.93 and 1,916.32 is: 2,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.34 : 4,703.93 = 1,916.32 : x
  2. Step 2: Convert to fraction form
    3,408.34/4,703.93 = 1,916.32/x
  3. Step 3: Cross multiply
    3,408.34x = 4,703.93 × 1,916.32
  4. Step 4: Simplify right side
    3,408.34x = 9,014,235.14
  5. Step 5: Solve for x
    x = 9,014,235.14/3,408.34
  6. Step 6: Final answer
    x = 2,644.76

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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.