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Finding the Fourth Proportional to 3,104.74, 4,658.06 and 1,255.51

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Solution

The fourth proportional to 3,104.74, 4,658.06 and 1,255.51 is: 1,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.74 : 4,658.06 = 1,255.51 : x
  2. Step 2: Convert to fraction form
    3,104.74/4,658.06 = 1,255.51/x
  3. Step 3: Cross multiply
    3,104.74x = 4,658.06 × 1,255.51
  4. Step 4: Simplify right side
    3,104.74x = 5,848,240.91
  5. Step 5: Solve for x
    x = 5,848,240.91/3,104.74
  6. Step 6: Final answer
    x = 1,883.65

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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.