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Finding the Fourth Proportional to 3,104.99, 4,658.43 and 1,255.76

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Solution

The fourth proportional to 3,104.99, 4,658.43 and 1,255.76 is: 1,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.99 : 4,658.43 = 1,255.76 : x
  2. Step 2: Convert to fraction form
    3,104.99/4,658.43 = 1,255.76/x
  3. Step 3: Cross multiply
    3,104.99x = 4,658.43 × 1,255.76
  4. Step 4: Simplify right side
    3,104.99x = 5,849,870.06
  5. Step 5: Solve for x
    x = 5,849,870.06/3,104.99
  6. Step 6: Final answer
    x = 1,884.02

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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.