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Finding the Fourth Proportional to 1,776.43, 2,664.51 and 736.18

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Solution

The fourth proportional to 1,776.43, 2,664.51 and 736.18 is: 1,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.43 : 2,664.51 = 736.18 : x
  2. Step 2: Convert to fraction form
    1,776.43/2,664.51 = 736.18/x
  3. Step 3: Cross multiply
    1,776.43x = 2,664.51 × 736.18
  4. Step 4: Simplify right side
    1,776.43x = 1,961,558.97
  5. Step 5: Solve for x
    x = 1,961,558.97/1,776.43
  6. Step 6: Final answer
    x = 1,104.21

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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.