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Finding the Fourth Proportional to 1,744.43, 2,408.25 and 1,345.22

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Solution

The fourth proportional to 1,744.43, 2,408.25 and 1,345.22 is: 1,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.43 : 2,408.25 = 1,345.22 : x
  2. Step 2: Convert to fraction form
    1,744.43/2,408.25 = 1,345.22/x
  3. Step 3: Cross multiply
    1,744.43x = 2,408.25 × 1,345.22
  4. Step 4: Simplify right side
    1,744.43x = 3,239,626.07
  5. Step 5: Solve for x
    x = 3,239,626.07/1,744.43
  6. Step 6: Final answer
    x = 1,857.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.