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Finding the Fourth Proportional to 1,812.96, 2,720.20 and 773.68

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Solution

The fourth proportional to 1,812.96, 2,720.20 and 773.68 is: 1,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.96 : 2,720.20 = 773.68 : x
  2. Step 2: Convert to fraction form
    1,812.96/2,720.20 = 773.68/x
  3. Step 3: Cross multiply
    1,812.96x = 2,720.20 × 773.68
  4. Step 4: Simplify right side
    1,812.96x = 2,104,564.34
  5. Step 5: Solve for x
    x = 2,104,564.34/1,812.96
  6. Step 6: Final answer
    x = 1,160.84

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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.