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Finding the Fourth Proportional to 2,842.48, 4,263.69 and 762.42

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Solution

The fourth proportional to 2,842.48, 4,263.69 and 762.42 is: 1,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.48 : 4,263.69 = 762.42 : x
  2. Step 2: Convert to fraction form
    2,842.48/4,263.69 = 762.42/x
  3. Step 3: Cross multiply
    2,842.48x = 4,263.69 × 762.42
  4. Step 4: Simplify right side
    2,842.48x = 3,250,722.53
  5. Step 5: Solve for x
    x = 3,250,722.53/2,842.48
  6. Step 6: Final answer
    x = 1,143.62

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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.