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Finding the Fourth Proportional to 2,068.69, 3,099.13 and 1,604.19

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Solution

The fourth proportional to 2,068.69, 3,099.13 and 1,604.19 is: 2,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.69 : 3,099.13 = 1,604.19 : x
  2. Step 2: Convert to fraction form
    2,068.69/3,099.13 = 1,604.19/x
  3. Step 3: Cross multiply
    2,068.69x = 3,099.13 × 1,604.19
  4. Step 4: Simplify right side
    2,068.69x = 4,971,593.35
  5. Step 5: Solve for x
    x = 4,971,593.35/2,068.69
  6. Step 6: Final answer
    x = 2,403.26

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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.