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Finding the Fourth Proportional to 3,199.83, 4,798.53 and 1,119.21

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Solution

The fourth proportional to 3,199.83, 4,798.53 and 1,119.21 is: 1,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.83 : 4,798.53 = 1,119.21 : x
  2. Step 2: Convert to fraction form
    3,199.83/4,798.53 = 1,119.21/x
  3. Step 3: Cross multiply
    3,199.83x = 4,798.53 × 1,119.21
  4. Step 4: Simplify right side
    3,199.83x = 5,370,562.76
  5. Step 5: Solve for x
    x = 5,370,562.76/3,199.83
  6. Step 6: Final answer
    x = 1,678.39

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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.