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Finding the Fourth Proportional to 3,364.34, 5,043.23 and 1,608.89

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Solution

The fourth proportional to 3,364.34, 5,043.23 and 1,608.89 is: 2,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.34 : 5,043.23 = 1,608.89 : x
  2. Step 2: Convert to fraction form
    3,364.34/5,043.23 = 1,608.89/x
  3. Step 3: Cross multiply
    3,364.34x = 5,043.23 × 1,608.89
  4. Step 4: Simplify right side
    3,364.34x = 8,113,977.10
  5. Step 5: Solve for x
    x = 8,113,977.10/3,364.34
  6. Step 6: Final answer
    x = 2,411.76

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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.