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Finding the Fourth Proportional to 2,068.70, 3,099.12 and 1,604.20

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Solution

The fourth proportional to 2,068.70, 3,099.12 and 1,604.20 is: 2,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.70 : 3,099.12 = 1,604.20 : x
  2. Step 2: Convert to fraction form
    2,068.70/3,099.12 = 1,604.20/x
  3. Step 3: Cross multiply
    2,068.70x = 3,099.12 × 1,604.20
  4. Step 4: Simplify right side
    2,068.70x = 4,971,608.30
  5. Step 5: Solve for x
    x = 4,971,608.30/2,068.70
  6. Step 6: Final answer
    x = 2,403.25

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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.