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Finding the Fourth Proportional to 2,057.85, 2,839.93 and 1,219.03

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Solution

The fourth proportional to 2,057.85, 2,839.93 and 1,219.03 is: 1,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.85 : 2,839.93 = 1,219.03 : x
  2. Step 2: Convert to fraction form
    2,057.85/2,839.93 = 1,219.03/x
  3. Step 3: Cross multiply
    2,057.85x = 2,839.93 × 1,219.03
  4. Step 4: Simplify right side
    2,057.85x = 3,461,959.87
  5. Step 5: Solve for x
    x = 3,461,959.87/2,057.85
  6. Step 6: Final answer
    x = 1,682.32

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Why These Related Problems?

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