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Finding the Fourth Proportional to 3,322.49, 4,584.95 and 1,830.36

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Solution

The fourth proportional to 3,322.49, 4,584.95 and 1,830.36 is: 2,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.49 : 4,584.95 = 1,830.36 : x
  2. Step 2: Convert to fraction form
    3,322.49/4,584.95 = 1,830.36/x
  3. Step 3: Cross multiply
    3,322.49x = 4,584.95 × 1,830.36
  4. Step 4: Simplify right side
    3,322.49x = 8,392,134.28
  5. Step 5: Solve for x
    x = 8,392,134.28/3,322.49
  6. Step 6: Final answer
    x = 2,525.86

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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.