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Finding the Fourth Proportional to 3,021.80, 4,532.70 and 1,074.20

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Solution

The fourth proportional to 3,021.80, 4,532.70 and 1,074.20 is: 1,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.80 : 4,532.70 = 1,074.20 : x
  2. Step 2: Convert to fraction form
    3,021.80/4,532.70 = 1,074.20/x
  3. Step 3: Cross multiply
    3,021.80x = 4,532.70 × 1,074.20
  4. Step 4: Simplify right side
    3,021.80x = 4,869,026.34
  5. Step 5: Solve for x
    x = 4,869,026.34/3,021.80
  6. Step 6: Final answer
    x = 1,611.30

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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.