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Finding the Fourth Proportional to 1,489.89, 2,055.32 and 992.58

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Solution

The fourth proportional to 1,489.89, 2,055.32 and 992.58 is: 1,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.89 : 2,055.32 = 992.58 : x
  2. Step 2: Convert to fraction form
    1,489.89/2,055.32 = 992.58/x
  3. Step 3: Cross multiply
    1,489.89x = 2,055.32 × 992.58
  4. Step 4: Simplify right side
    1,489.89x = 2,040,071.94
  5. Step 5: Solve for x
    x = 2,040,071.94/1,489.89
  6. Step 6: Final answer
    x = 1,369.27

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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.