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Finding the Fourth Proportional to 2,992.71, 4,495.55 and 2,446.23

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Solution

The fourth proportional to 2,992.71, 4,495.55 and 2,446.23 is: 3,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.71 : 4,495.55 = 2,446.23 : x
  2. Step 2: Convert to fraction form
    2,992.71/4,495.55 = 2,446.23/x
  3. Step 3: Cross multiply
    2,992.71x = 4,495.55 × 2,446.23
  4. Step 4: Simplify right side
    2,992.71x = 10,997,137.05
  5. Step 5: Solve for x
    x = 10,997,137.05/2,992.71
  6. Step 6: Final answer
    x = 3,674.64

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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.