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Finding the Fourth Proportional to 3,221.40, 4,825.84 and 1,830.52

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Solution

The fourth proportional to 3,221.40, 4,825.84 and 1,830.52 is: 2,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.40 : 4,825.84 = 1,830.52 : x
  2. Step 2: Convert to fraction form
    3,221.40/4,825.84 = 1,830.52/x
  3. Step 3: Cross multiply
    3,221.40x = 4,825.84 × 1,830.52
  4. Step 4: Simplify right side
    3,221.40x = 8,833,796.64
  5. Step 5: Solve for x
    x = 8,833,796.64/3,221.40
  6. Step 6: Final answer
    x = 2,742.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.