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Finding the Fourth Proportional to 3,321.65, 4,583.75 and 1,829.41

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Solution

The fourth proportional to 3,321.65, 4,583.75 and 1,829.41 is: 2,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.65 : 4,583.75 = 1,829.41 : x
  2. Step 2: Convert to fraction form
    3,321.65/4,583.75 = 1,829.41/x
  3. Step 3: Cross multiply
    3,321.65x = 4,583.75 × 1,829.41
  4. Step 4: Simplify right side
    3,321.65x = 8,385,537.48
  5. Step 5: Solve for x
    x = 8,385,537.48/3,321.65
  6. Step 6: Final answer
    x = 2,524.51

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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.