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Finding the Fourth Proportional to 2,884.43, 4,324.82 and 1,495.68

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Solution

The fourth proportional to 2,884.43, 4,324.82 and 1,495.68 is: 2,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.43 : 4,324.82 = 1,495.68 : x
  2. Step 2: Convert to fraction form
    2,884.43/4,324.82 = 1,495.68/x
  3. Step 3: Cross multiply
    2,884.43x = 4,324.82 × 1,495.68
  4. Step 4: Simplify right side
    2,884.43x = 6,468,539.30
  5. Step 5: Solve for x
    x = 6,468,539.30/2,884.43
  6. Step 6: Final answer
    x = 2,242.57

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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.