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Finding the Fourth Proportional to 2,389.83, 3,577.86 and 2,119.29

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Solution

The fourth proportional to 2,389.83, 3,577.86 and 2,119.29 is: 3,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.83 : 3,577.86 = 2,119.29 : x
  2. Step 2: Convert to fraction form
    2,389.83/3,577.86 = 2,119.29/x
  3. Step 3: Cross multiply
    2,389.83x = 3,577.86 × 2,119.29
  4. Step 4: Simplify right side
    2,389.83x = 7,582,522.92
  5. Step 5: Solve for x
    x = 7,582,522.92/2,389.83
  6. Step 6: Final answer
    x = 3,172.83

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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.