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Finding the Fourth Proportional to 2,672.41, 3,687.96 and 1,477.41

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Solution

The fourth proportional to 2,672.41, 3,687.96 and 1,477.41 is: 2,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.41 : 3,687.96 = 1,477.41 : x
  2. Step 2: Convert to fraction form
    2,672.41/3,687.96 = 1,477.41/x
  3. Step 3: Cross multiply
    2,672.41x = 3,687.96 × 1,477.41
  4. Step 4: Simplify right side
    2,672.41x = 5,448,628.98
  5. Step 5: Solve for x
    x = 5,448,628.98/2,672.41
  6. Step 6: Final answer
    x = 2,038.84

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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.