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Finding the Fourth Proportional to 2,057.89, 2,839.89 and 1,173.66

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Solution

The fourth proportional to 2,057.89, 2,839.89 and 1,173.66 is: 1,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.89 : 2,839.89 = 1,173.66 : x
  2. Step 2: Convert to fraction form
    2,057.89/2,839.89 = 1,173.66/x
  3. Step 3: Cross multiply
    2,057.89x = 2,839.89 × 1,173.66
  4. Step 4: Simplify right side
    2,057.89x = 3,333,065.30
  5. Step 5: Solve for x
    x = 3,333,065.30/2,057.89
  6. Step 6: Final answer
    x = 1,619.65

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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.