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Finding the Fourth Proportional to 3,801.60, 5,698.62 and 1,202.58

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Solution

The fourth proportional to 3,801.60, 5,698.62 and 1,202.58 is: 1,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.60 : 5,698.62 = 1,202.58 : x
  2. Step 2: Convert to fraction form
    3,801.60/5,698.62 = 1,202.58/x
  3. Step 3: Cross multiply
    3,801.60x = 5,698.62 × 1,202.58
  4. Step 4: Simplify right side
    3,801.60x = 6,853,046.44
  5. Step 5: Solve for x
    x = 6,853,046.44/3,801.60
  6. Step 6: Final answer
    x = 1,802.67

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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.