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Finding the Fourth Proportional to 3,160.08, 4,361.16 and 1,834.20

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Solution

The fourth proportional to 3,160.08, 4,361.16 and 1,834.20 is: 2,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.08 : 4,361.16 = 1,834.20 : x
  2. Step 2: Convert to fraction form
    3,160.08/4,361.16 = 1,834.20/x
  3. Step 3: Cross multiply
    3,160.08x = 4,361.16 × 1,834.20
  4. Step 4: Simplify right side
    3,160.08x = 7,999,239.67
  5. Step 5: Solve for x
    x = 7,999,239.67/3,160.08
  6. Step 6: Final answer
    x = 2,531.34

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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.