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Finding the Fourth Proportional to 1,789.16, 2,469.18 and 992.58

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Solution

The fourth proportional to 1,789.16, 2,469.18 and 992.58 is: 1,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.16 : 2,469.18 = 992.58 : x
  2. Step 2: Convert to fraction form
    1,789.16/2,469.18 = 992.58/x
  3. Step 3: Cross multiply
    1,789.16x = 2,469.18 × 992.58
  4. Step 4: Simplify right side
    1,789.16x = 2,450,860.09
  5. Step 5: Solve for x
    x = 2,450,860.09/1,789.16
  6. Step 6: Final answer
    x = 1,369.84

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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.