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Finding the Fourth Proportional to 3,202.42, 4,802.55 and 1,640.74

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Solution

The fourth proportional to 3,202.42, 4,802.55 and 1,640.74 is: 2,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.42 : 4,802.55 = 1,640.74 : x
  2. Step 2: Convert to fraction form
    3,202.42/4,802.55 = 1,640.74/x
  3. Step 3: Cross multiply
    3,202.42x = 4,802.55 × 1,640.74
  4. Step 4: Simplify right side
    3,202.42x = 7,879,735.89
  5. Step 5: Solve for x
    x = 7,879,735.89/3,202.42
  6. Step 6: Final answer
    x = 2,460.56

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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.