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Finding the Fourth Proportional to 3,199.87, 4,796.70 and 1,556.74

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Solution

The fourth proportional to 3,199.87, 4,796.70 and 1,556.74 is: 2,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.87 : 4,796.70 = 1,556.74 : x
  2. Step 2: Convert to fraction form
    3,199.87/4,796.70 = 1,556.74/x
  3. Step 3: Cross multiply
    3,199.87x = 4,796.70 × 1,556.74
  4. Step 4: Simplify right side
    3,199.87x = 7,467,214.76
  5. Step 5: Solve for x
    x = 7,467,214.76/3,199.87
  6. Step 6: Final answer
    x = 2,333.60

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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.