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Finding the Fourth Proportional to 1,738.26, 2,606.46 and 763.22

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Solution

The fourth proportional to 1,738.26, 2,606.46 and 763.22 is: 1,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.26 : 2,606.46 = 763.22 : x
  2. Step 2: Convert to fraction form
    1,738.26/2,606.46 = 763.22/x
  3. Step 3: Cross multiply
    1,738.26x = 2,606.46 × 763.22
  4. Step 4: Simplify right side
    1,738.26x = 1,989,302.40
  5. Step 5: Solve for x
    x = 1,989,302.40/1,738.26
  6. Step 6: Final answer
    x = 1,144.42

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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.