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Finding the Fourth Proportional to 3,322.34, 4,584.87 and 1,830.23

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Solution

The fourth proportional to 3,322.34, 4,584.87 and 1,830.23 is: 2,525.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.34 : 4,584.87 = 1,830.23 : x
  2. Step 2: Convert to fraction form
    3,322.34/4,584.87 = 1,830.23/x
  3. Step 3: Cross multiply
    3,322.34x = 4,584.87 × 1,830.23
  4. Step 4: Simplify right side
    3,322.34x = 8,391,355.16
  5. Step 5: Solve for x
    x = 8,391,355.16/3,322.34
  6. Step 6: Final answer
    x = 2,525.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.