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Finding the Fourth Proportional to 1,704.90, 2,354.37 and 1,612.86

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Solution

The fourth proportional to 1,704.90, 2,354.37 and 1,612.86 is: 2,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.90 : 2,354.37 = 1,612.86 : x
  2. Step 2: Convert to fraction form
    1,704.90/2,354.37 = 1,612.86/x
  3. Step 3: Cross multiply
    1,704.90x = 2,354.37 × 1,612.86
  4. Step 4: Simplify right side
    1,704.90x = 3,797,269.20
  5. Step 5: Solve for x
    x = 3,797,269.20/1,704.90
  6. Step 6: Final answer
    x = 2,227.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.