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Finding the Fourth Proportional to 3,321.41, 4,583.53 and 1,829.30

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Solution

The fourth proportional to 3,321.41, 4,583.53 and 1,829.30 is: 2,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.41 : 4,583.53 = 1,829.30 : x
  2. Step 2: Convert to fraction form
    3,321.41/4,583.53 = 1,829.30/x
  3. Step 3: Cross multiply
    3,321.41x = 4,583.53 × 1,829.30
  4. Step 4: Simplify right side
    3,321.41x = 8,384,670.75
  5. Step 5: Solve for x
    x = 8,384,670.75/3,321.41
  6. Step 6: Final answer
    x = 2,524.43

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1.5x scale

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.