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Finding the Fourth Proportional to 2,629.12, 3,943.32 and 1,534

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Solution

The fourth proportional to 2,629.12, 3,943.32 and 1,534 is: 2,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.12 : 3,943.32 = 1,534 : x
  2. Step 2: Convert to fraction form
    2,629.12/3,943.32 = 1,534/x
  3. Step 3: Cross multiply
    2,629.12x = 3,943.32 × 1,534
  4. Step 4: Simplify right side
    2,629.12x = 6,049,052.88
  5. Step 5: Solve for x
    x = 6,049,052.88/2,629.12
  6. Step 6: Final answer
    x = 2,300.79

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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.