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Finding the Fourth Proportional to 2,714.13, 3,747.09 and 1,720.26

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Solution

The fourth proportional to 2,714.13, 3,747.09 and 1,720.26 is: 2,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.13 : 3,747.09 = 1,720.26 : x
  2. Step 2: Convert to fraction form
    2,714.13/3,747.09 = 1,720.26/x
  3. Step 3: Cross multiply
    2,714.13x = 3,747.09 × 1,720.26
  4. Step 4: Simplify right side
    2,714.13x = 6,445,969.04
  5. Step 5: Solve for x
    x = 6,445,969.04/2,714.13
  6. Step 6: Final answer
    x = 2,374.97

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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.