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Finding the Fourth Proportional to 2,348.10, 3,512.43 and 2,134.26

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Solution

The fourth proportional to 2,348.10, 3,512.43 and 2,134.26 is: 3,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.10 : 3,512.43 = 2,134.26 : x
  2. Step 2: Convert to fraction form
    2,348.10/3,512.43 = 2,134.26/x
  3. Step 3: Cross multiply
    2,348.10x = 3,512.43 × 2,134.26
  4. Step 4: Simplify right side
    2,348.10x = 7,496,438.85
  5. Step 5: Solve for x
    x = 7,496,438.85/2,348.10
  6. Step 6: Final answer
    x = 3,192.56

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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.