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Finding the Fourth Proportional to 2,814.53, 4,216.32 and 1,354.71

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Solution

The fourth proportional to 2,814.53, 4,216.32 and 1,354.71 is: 2,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.53 : 4,216.32 = 1,354.71 : x
  2. Step 2: Convert to fraction form
    2,814.53/4,216.32 = 1,354.71/x
  3. Step 3: Cross multiply
    2,814.53x = 4,216.32 × 1,354.71
  4. Step 4: Simplify right side
    2,814.53x = 5,711,890.87
  5. Step 5: Solve for x
    x = 5,711,890.87/2,814.53
  6. Step 6: Final answer
    x = 2,029.43

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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.