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Finding the Fourth Proportional to 2,629.54, 3,943.02 and 1,534.18

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Solution

The fourth proportional to 2,629.54, 3,943.02 and 1,534.18 is: 2,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.54 : 3,943.02 = 1,534.18 : x
  2. Step 2: Convert to fraction form
    2,629.54/3,943.02 = 1,534.18/x
  3. Step 3: Cross multiply
    2,629.54x = 3,943.02 × 1,534.18
  4. Step 4: Simplify right side
    2,629.54x = 6,049,302.42
  5. Step 5: Solve for x
    x = 6,049,302.42/2,629.54
  6. Step 6: Final answer
    x = 2,300.52

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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.