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Finding the Fourth Proportional to 1,620.12, 2,429.94 and 645.27

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Solution

The fourth proportional to 1,620.12, 2,429.94 and 645.27 is: 967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.12 : 2,429.94 = 645.27 : x
  2. Step 2: Convert to fraction form
    1,620.12/2,429.94 = 645.27/x
  3. Step 3: Cross multiply
    1,620.12x = 2,429.94 × 645.27
  4. Step 4: Simplify right side
    1,620.12x = 1,567,967.38
  5. Step 5: Solve for x
    x = 1,567,967.38/1,620.12
  6. Step 6: Final answer
    x = 967.81

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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.