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Finding the Fourth Proportional to 2,085.99, 2,879.04 and 1,202.32

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Solution

The fourth proportional to 2,085.99, 2,879.04 and 1,202.32 is: 1,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.99 : 2,879.04 = 1,202.32 : x
  2. Step 2: Convert to fraction form
    2,085.99/2,879.04 = 1,202.32/x
  3. Step 3: Cross multiply
    2,085.99x = 2,879.04 × 1,202.32
  4. Step 4: Simplify right side
    2,085.99x = 3,461,527.37
  5. Step 5: Solve for x
    x = 3,461,527.37/2,085.99
  6. Step 6: Final answer
    x = 1,659.42

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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.