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Finding the Fourth Proportional to 3,322.41, 4,584.93 and 1,830.33

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Solution

The fourth proportional to 3,322.41, 4,584.93 and 1,830.33 is: 2,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.41 : 4,584.93 = 1,830.33 : x
  2. Step 2: Convert to fraction form
    3,322.41/4,584.93 = 1,830.33/x
  3. Step 3: Cross multiply
    3,322.41x = 4,584.93 × 1,830.33
  4. Step 4: Simplify right side
    3,322.41x = 8,391,928.06
  5. Step 5: Solve for x
    x = 8,391,928.06/3,322.41
  6. Step 6: Final answer
    x = 2,525.85

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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.