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Finding the Fourth Proportional to 1,714.31, 2,580.83 and 1,169.94

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Solution

The fourth proportional to 1,714.31, 2,580.83 and 1,169.94 is: 1,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.31 : 2,580.83 = 1,169.94 : x
  2. Step 2: Convert to fraction form
    1,714.31/2,580.83 = 1,169.94/x
  3. Step 3: Cross multiply
    1,714.31x = 2,580.83 × 1,169.94
  4. Step 4: Simplify right side
    1,714.31x = 3,019,416.25
  5. Step 5: Solve for x
    x = 3,019,416.25/1,714.31
  6. Step 6: Final answer
    x = 1,761.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.