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Finding the Fourth Proportional to 1,619.08, 2,429.24 and 645.88

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Solution

The fourth proportional to 1,619.08, 2,429.24 and 645.88 is: 969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.08 : 2,429.24 = 645.88 : x
  2. Step 2: Convert to fraction form
    1,619.08/2,429.24 = 645.88/x
  3. Step 3: Cross multiply
    1,619.08x = 2,429.24 × 645.88
  4. Step 4: Simplify right side
    1,619.08x = 1,568,997.53
  5. Step 5: Solve for x
    x = 1,568,997.53/1,619.08
  6. Step 6: Final answer
    x = 969.07

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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.