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Finding the Fourth Proportional to 2,081.99, 2,873.07 and 1,242.26

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Solution

The fourth proportional to 2,081.99, 2,873.07 and 1,242.26 is: 1,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.99 : 2,873.07 = 1,242.26 : x
  2. Step 2: Convert to fraction form
    2,081.99/2,873.07 = 1,242.26/x
  3. Step 3: Cross multiply
    2,081.99x = 2,873.07 × 1,242.26
  4. Step 4: Simplify right side
    2,081.99x = 3,569,085.57
  5. Step 5: Solve for x
    x = 3,569,085.57/2,081.99
  6. Step 6: Final answer
    x = 1,714.27

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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.