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Finding the Fourth Proportional to 2,541.52, 3,812.24 and 1,002.52

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Solution

The fourth proportional to 2,541.52, 3,812.24 and 1,002.52 is: 1,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.52 : 3,812.24 = 1,002.52 : x
  2. Step 2: Convert to fraction form
    2,541.52/3,812.24 = 1,002.52/x
  3. Step 3: Cross multiply
    2,541.52x = 3,812.24 × 1,002.52
  4. Step 4: Simplify right side
    2,541.52x = 3,821,846.84
  5. Step 5: Solve for x
    x = 3,821,846.84/2,541.52
  6. Step 6: Final answer
    x = 1,503.76

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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.