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Finding the Fourth Proportional to 3,168.96, 4,752.48 and 1,219.80

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Solution

The fourth proportional to 3,168.96, 4,752.48 and 1,219.80 is: 1,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.96 : 4,752.48 = 1,219.80 : x
  2. Step 2: Convert to fraction form
    3,168.96/4,752.48 = 1,219.80/x
  3. Step 3: Cross multiply
    3,168.96x = 4,752.48 × 1,219.80
  4. Step 4: Simplify right side
    3,168.96x = 5,797,075.10
  5. Step 5: Solve for x
    x = 5,797,075.10/3,168.96
  6. Step 6: Final answer
    x = 1,829.33

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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.