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Finding the Fourth Proportional to 1,738.18, 2,606.37 and 914.41

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Solution

The fourth proportional to 1,738.18, 2,606.37 and 914.41 is: 1,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.18 : 2,606.37 = 914.41 : x
  2. Step 2: Convert to fraction form
    1,738.18/2,606.37 = 914.41/x
  3. Step 3: Cross multiply
    1,738.18x = 2,606.37 × 914.41
  4. Step 4: Simplify right side
    1,738.18x = 2,383,290.79
  5. Step 5: Solve for x
    x = 2,383,290.79/1,738.18
  6. Step 6: Final answer
    x = 1,371.14

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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.