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Finding the Fourth Proportional to 3,195.30, 4,792.16 and 1,346.43

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Solution

The fourth proportional to 3,195.30, 4,792.16 and 1,346.43 is: 2,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.30 : 4,792.16 = 1,346.43 : x
  2. Step 2: Convert to fraction form
    3,195.30/4,792.16 = 1,346.43/x
  3. Step 3: Cross multiply
    3,195.30x = 4,792.16 × 1,346.43
  4. Step 4: Simplify right side
    3,195.30x = 6,452,301.26
  5. Step 5: Solve for x
    x = 6,452,301.26/3,195.30
  6. Step 6: Final answer
    x = 2,019.31

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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.