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Finding the Fourth Proportional to 2,002.99, 2,760.99 and 1,842.07

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Solution

The fourth proportional to 2,002.99, 2,760.99 and 1,842.07 is: 2,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.99 : 2,760.99 = 1,842.07 : x
  2. Step 2: Convert to fraction form
    2,002.99/2,760.99 = 1,842.07/x
  3. Step 3: Cross multiply
    2,002.99x = 2,760.99 × 1,842.07
  4. Step 4: Simplify right side
    2,002.99x = 5,085,936.85
  5. Step 5: Solve for x
    x = 5,085,936.85/2,002.99
  6. Step 6: Final answer
    x = 2,539.17

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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.