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Finding the Fourth Proportional to 2,541.16, 3,800.22 and 2,509.48

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Solution

The fourth proportional to 2,541.16, 3,800.22 and 2,509.48 is: 3,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.16 : 3,800.22 = 2,509.48 : x
  2. Step 2: Convert to fraction form
    2,541.16/3,800.22 = 2,509.48/x
  3. Step 3: Cross multiply
    2,541.16x = 3,800.22 × 2,509.48
  4. Step 4: Simplify right side
    2,541.16x = 9,536,576.09
  5. Step 5: Solve for x
    x = 9,536,576.09/2,541.16
  6. Step 6: Final answer
    x = 3,752.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.