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Finding the Fourth Proportional to 1,382.27, 2,074.12 and 651.92

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Solution

The fourth proportional to 1,382.27, 2,074.12 and 651.92 is: 978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.27 : 2,074.12 = 651.92 : x
  2. Step 2: Convert to fraction form
    1,382.27/2,074.12 = 651.92/x
  3. Step 3: Cross multiply
    1,382.27x = 2,074.12 × 651.92
  4. Step 4: Simplify right side
    1,382.27x = 1,352,148.31
  5. Step 5: Solve for x
    x = 1,352,148.31/1,382.27
  6. Step 6: Final answer
    x = 978.21

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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.