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Finding the Fourth Proportional to 3,199.07, 4,801.57 and 1,640.19

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Solution

The fourth proportional to 3,199.07, 4,801.57 and 1,640.19 is: 2,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.07 : 4,801.57 = 1,640.19 : x
  2. Step 2: Convert to fraction form
    3,199.07/4,801.57 = 1,640.19/x
  3. Step 3: Cross multiply
    3,199.07x = 4,801.57 × 1,640.19
  4. Step 4: Simplify right side
    3,199.07x = 7,875,467.19
  5. Step 5: Solve for x
    x = 7,875,467.19/3,199.07
  6. Step 6: Final answer
    x = 2,461.80

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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.