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Finding the Fourth Proportional to 2,842.19, 4,261.61 and 992.81

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Solution

The fourth proportional to 2,842.19, 4,261.61 and 992.81 is: 1,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.19 : 4,261.61 = 992.81 : x
  2. Step 2: Convert to fraction form
    2,842.19/4,261.61 = 992.81/x
  3. Step 3: Cross multiply
    2,842.19x = 4,261.61 × 992.81
  4. Step 4: Simplify right side
    2,842.19x = 4,230,958.19
  5. Step 5: Solve for x
    x = 4,230,958.19/2,842.19
  6. Step 6: Final answer
    x = 1,488.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.