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Finding the Fourth Proportional to 2,093.54, 3,131.76 and 1,393.70

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Solution

The fourth proportional to 2,093.54, 3,131.76 and 1,393.70 is: 2,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.54 : 3,131.76 = 1,393.70 : x
  2. Step 2: Convert to fraction form
    2,093.54/3,131.76 = 1,393.70/x
  3. Step 3: Cross multiply
    2,093.54x = 3,131.76 × 1,393.70
  4. Step 4: Simplify right side
    2,093.54x = 4,364,733.91
  5. Step 5: Solve for x
    x = 4,364,733.91/2,093.54
  6. Step 6: Final answer
    x = 2,084.86

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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.