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Finding the Fourth Proportional to 2,755.88, 4,132.62 and 1,714.31

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Solution

The fourth proportional to 2,755.88, 4,132.62 and 1,714.31 is: 2,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.88 : 4,132.62 = 1,714.31 : x
  2. Step 2: Convert to fraction form
    2,755.88/4,132.62 = 1,714.31/x
  3. Step 3: Cross multiply
    2,755.88x = 4,132.62 × 1,714.31
  4. Step 4: Simplify right side
    2,755.88x = 7,084,571.13
  5. Step 5: Solve for x
    x = 7,084,571.13/2,755.88
  6. Step 6: Final answer
    x = 2,570.72

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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.