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Finding the Fourth Proportional to 1,802.09, 2,699.63 and 1,183.91

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Solution

The fourth proportional to 1,802.09, 2,699.63 and 1,183.91 is: 1,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.09 : 2,699.63 = 1,183.91 : x
  2. Step 2: Convert to fraction form
    1,802.09/2,699.63 = 1,183.91/x
  3. Step 3: Cross multiply
    1,802.09x = 2,699.63 × 1,183.91
  4. Step 4: Simplify right side
    1,802.09x = 3,196,119.78
  5. Step 5: Solve for x
    x = 3,196,119.78/1,802.09
  6. Step 6: Final answer
    x = 1,773.57

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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.