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Finding the Fourth Proportional to 2,035.62, 2,809.32 and 1,249.80

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Solution

The fourth proportional to 2,035.62, 2,809.32 and 1,249.80 is: 1,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.62 : 2,809.32 = 1,249.80 : x
  2. Step 2: Convert to fraction form
    2,035.62/2,809.32 = 1,249.80/x
  3. Step 3: Cross multiply
    2,035.62x = 2,809.32 × 1,249.80
  4. Step 4: Simplify right side
    2,035.62x = 3,511,088.14
  5. Step 5: Solve for x
    x = 3,511,088.14/2,035.62
  6. Step 6: Final answer
    x = 1,724.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.