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Finding the Fourth Proportional to 2,063.70, 2,846.34 and 1,505.34

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Solution

The fourth proportional to 2,063.70, 2,846.34 and 1,505.34 is: 2,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.70 : 2,846.34 = 1,505.34 : x
  2. Step 2: Convert to fraction form
    2,063.70/2,846.34 = 1,505.34/x
  3. Step 3: Cross multiply
    2,063.70x = 2,846.34 × 1,505.34
  4. Step 4: Simplify right side
    2,063.70x = 4,284,709.46
  5. Step 5: Solve for x
    x = 4,284,709.46/2,063.70
  6. Step 6: Final answer
    x = 2,076.23

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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.