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Finding the Fourth Proportional to 2,085.87, 2,881.46 and 1,668.99

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Solution

The fourth proportional to 2,085.87, 2,881.46 and 1,668.99 is: 2,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.87 : 2,881.46 = 1,668.99 : x
  2. Step 2: Convert to fraction form
    2,085.87/2,881.46 = 1,668.99/x
  3. Step 3: Cross multiply
    2,085.87x = 2,881.46 × 1,668.99
  4. Step 4: Simplify right side
    2,085.87x = 4,809,119.58
  5. Step 5: Solve for x
    x = 4,809,119.58/2,085.87
  6. Step 6: Final answer
    x = 2,305.57

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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.