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Finding the Fourth Proportional to 2,255.94, 3,382.68 and 1,006.92

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Solution

The fourth proportional to 2,255.94, 3,382.68 and 1,006.92 is: 1,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.94 : 3,382.68 = 1,006.92 : x
  2. Step 2: Convert to fraction form
    2,255.94/3,382.68 = 1,006.92/x
  3. Step 3: Cross multiply
    2,255.94x = 3,382.68 × 1,006.92
  4. Step 4: Simplify right side
    2,255.94x = 3,406,088.15
  5. Step 5: Solve for x
    x = 3,406,088.15/2,255.94
  6. Step 6: Final answer
    x = 1,509.83

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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.