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Finding the Fourth Proportional to 1,619.12, 2,427.30 and 645.91

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Solution

The fourth proportional to 1,619.12, 2,427.30 and 645.91 is: 968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.12 : 2,427.30 = 645.91 : x
  2. Step 2: Convert to fraction form
    1,619.12/2,427.30 = 645.91/x
  3. Step 3: Cross multiply
    1,619.12x = 2,427.30 × 645.91
  4. Step 4: Simplify right side
    1,619.12x = 1,567,811.27
  5. Step 5: Solve for x
    x = 1,567,811.27/1,619.12
  6. Step 6: Final answer
    x = 968.31

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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.