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Finding the Fourth Proportional to 2,541.38, 3,506.09 and 1,596.78

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Solution

The fourth proportional to 2,541.38, 3,506.09 and 1,596.78 is: 2,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.38 : 3,506.09 = 1,596.78 : x
  2. Step 2: Convert to fraction form
    2,541.38/3,506.09 = 1,596.78/x
  3. Step 3: Cross multiply
    2,541.38x = 3,506.09 × 1,596.78
  4. Step 4: Simplify right side
    2,541.38x = 5,598,446.41
  5. Step 5: Solve for x
    x = 5,598,446.41/2,541.38
  6. Step 6: Final answer
    x = 2,202.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.