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Finding the Fourth Proportional to 1,620.55, 2,428.80 and 1,446.40

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Solution

The fourth proportional to 1,620.55, 2,428.80 and 1,446.40 is: 2,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.55 : 2,428.80 = 1,446.40 : x
  2. Step 2: Convert to fraction form
    1,620.55/2,428.80 = 1,446.40/x
  3. Step 3: Cross multiply
    1,620.55x = 2,428.80 × 1,446.40
  4. Step 4: Simplify right side
    1,620.55x = 3,513,016.32
  5. Step 5: Solve for x
    x = 3,513,016.32/1,620.55
  6. Step 6: Final answer
    x = 2,167.79

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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.