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Finding the Fourth Proportional to 2,160.68, 2,968.82 and 1,717.82

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Solution

The fourth proportional to 2,160.68, 2,968.82 and 1,717.82 is: 2,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.68 : 2,968.82 = 1,717.82 : x
  2. Step 2: Convert to fraction form
    2,160.68/2,968.82 = 1,717.82/x
  3. Step 3: Cross multiply
    2,160.68x = 2,968.82 × 1,717.82
  4. Step 4: Simplify right side
    2,160.68x = 5,099,874.94
  5. Step 5: Solve for x
    x = 5,099,874.94/2,160.68
  6. Step 6: Final answer
    x = 2,360.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.