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Finding the Fourth Proportional to 2,081.74, 3,116.98 and 1,299.87

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Solution

The fourth proportional to 2,081.74, 3,116.98 and 1,299.87 is: 1,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.74 : 3,116.98 = 1,299.87 : x
  2. Step 2: Convert to fraction form
    2,081.74/3,116.98 = 1,299.87/x
  3. Step 3: Cross multiply
    2,081.74x = 3,116.98 × 1,299.87
  4. Step 4: Simplify right side
    2,081.74x = 4,051,668.79
  5. Step 5: Solve for x
    x = 4,051,668.79/2,081.74
  6. Step 6: Final answer
    x = 1,946.29

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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.