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Finding the Fourth Proportional to 2,604.21, 3,903.57 and 1,782.26

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Solution

The fourth proportional to 2,604.21, 3,903.57 and 1,782.26 is: 2,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.21 : 3,903.57 = 1,782.26 : x
  2. Step 2: Convert to fraction form
    2,604.21/3,903.57 = 1,782.26/x
  3. Step 3: Cross multiply
    2,604.21x = 3,903.57 × 1,782.26
  4. Step 4: Simplify right side
    2,604.21x = 6,957,176.67
  5. Step 5: Solve for x
    x = 6,957,176.67/2,604.21
  6. Step 6: Final answer
    x = 2,671.51

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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.