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Finding the Fourth Proportional to 2,189.60, 3,284.40 and 546.14

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Solution

The fourth proportional to 2,189.60, 3,284.40 and 546.14 is: 819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.60 : 3,284.40 = 546.14 : x
  2. Step 2: Convert to fraction form
    2,189.60/3,284.40 = 546.14/x
  3. Step 3: Cross multiply
    2,189.60x = 3,284.40 × 546.14
  4. Step 4: Simplify right side
    2,189.60x = 1,793,742.22
  5. Step 5: Solve for x
    x = 1,793,742.22/2,189.60
  6. Step 6: Final answer
    x = 819.21

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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.