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Finding the Fourth Proportional to 2,071.87, 3,109.52 and 1,085.79

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Solution

The fourth proportional to 2,071.87, 3,109.52 and 1,085.79 is: 1,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.87 : 3,109.52 = 1,085.79 : x
  2. Step 2: Convert to fraction form
    2,071.87/3,109.52 = 1,085.79/x
  3. Step 3: Cross multiply
    2,071.87x = 3,109.52 × 1,085.79
  4. Step 4: Simplify right side
    2,071.87x = 3,376,285.72
  5. Step 5: Solve for x
    x = 3,376,285.72/2,071.87
  6. Step 6: Final answer
    x = 1,629.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.