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Finding the Fourth Proportional to 2,783.60, 3,839.10 and 1,998.08

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Solution

The fourth proportional to 2,783.60, 3,839.10 and 1,998.08 is: 2,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.60 : 3,839.10 = 1,998.08 : x
  2. Step 2: Convert to fraction form
    2,783.60/3,839.10 = 1,998.08/x
  3. Step 3: Cross multiply
    2,783.60x = 3,839.10 × 1,998.08
  4. Step 4: Simplify right side
    2,783.60x = 7,670,828.93
  5. Step 5: Solve for x
    x = 7,670,828.93/2,783.60
  6. Step 6: Final answer
    x = 2,755.72

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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.