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Finding the Fourth Proportional to 2,162.88, 2,989.44 and 1,696.32

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Solution

The fourth proportional to 2,162.88, 2,989.44 and 1,696.32 is: 2,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.88 : 2,989.44 = 1,696.32 : x
  2. Step 2: Convert to fraction form
    2,162.88/2,989.44 = 1,696.32/x
  3. Step 3: Cross multiply
    2,162.88x = 2,989.44 × 1,696.32
  4. Step 4: Simplify right side
    2,162.88x = 5,071,046.86
  5. Step 5: Solve for x
    x = 5,071,046.86/2,162.88
  6. Step 6: Final answer
    x = 2,344.58

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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.