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Finding the Fourth Proportional to 3,104.73, 4,658.01 and 1,256.41

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Solution

The fourth proportional to 3,104.73, 4,658.01 and 1,256.41 is: 1,884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.73 : 4,658.01 = 1,256.41 : x
  2. Step 2: Convert to fraction form
    3,104.73/4,658.01 = 1,256.41/x
  3. Step 3: Cross multiply
    3,104.73x = 4,658.01 × 1,256.41
  4. Step 4: Simplify right side
    3,104.73x = 5,852,371.46
  5. Step 5: Solve for x
    x = 5,852,371.46/3,104.73
  6. Step 6: Final answer
    x = 1,884.99

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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.