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Finding the Fourth Proportional to 3,144.48, 4,714.65 and 1,759.86

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Solution

The fourth proportional to 3,144.48, 4,714.65 and 1,759.86 is: 2,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.48 : 4,714.65 = 1,759.86 : x
  2. Step 2: Convert to fraction form
    3,144.48/4,714.65 = 1,759.86/x
  3. Step 3: Cross multiply
    3,144.48x = 4,714.65 × 1,759.86
  4. Step 4: Simplify right side
    3,144.48x = 8,297,123.95
  5. Step 5: Solve for x
    x = 8,297,123.95/3,144.48
  6. Step 6: Final answer
    x = 2,638.63

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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.