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Finding the Fourth Proportional to 3,019.60, 4,534.80 and 2,198.80

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Solution

The fourth proportional to 3,019.60, 4,534.80 and 2,198.80 is: 3,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.60 : 4,534.80 = 2,198.80 : x
  2. Step 2: Convert to fraction form
    3,019.60/4,534.80 = 2,198.80/x
  3. Step 3: Cross multiply
    3,019.60x = 4,534.80 × 2,198.80
  4. Step 4: Simplify right side
    3,019.60x = 9,971,118.24
  5. Step 5: Solve for x
    x = 9,971,118.24/3,019.60
  6. Step 6: Final answer
    x = 3,302.13

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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.