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Finding the Fourth Proportional to 2,194.71, 3,029.09 and 1,310.57

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Solution

The fourth proportional to 2,194.71, 3,029.09 and 1,310.57 is: 1,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.71 : 3,029.09 = 1,310.57 : x
  2. Step 2: Convert to fraction form
    2,194.71/3,029.09 = 1,310.57/x
  3. Step 3: Cross multiply
    2,194.71x = 3,029.09 × 1,310.57
  4. Step 4: Simplify right side
    2,194.71x = 3,969,834.48
  5. Step 5: Solve for x
    x = 3,969,834.48/2,194.71
  6. Step 6: Final answer
    x = 1,808.82

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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.