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Finding the Fourth Proportional to 2,716.34, 3,749.43 and 1,597.22

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Solution

The fourth proportional to 2,716.34, 3,749.43 and 1,597.22 is: 2,204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.34 : 3,749.43 = 1,597.22 : x
  2. Step 2: Convert to fraction form
    2,716.34/3,749.43 = 1,597.22/x
  3. Step 3: Cross multiply
    2,716.34x = 3,749.43 × 1,597.22
  4. Step 4: Simplify right side
    2,716.34x = 5,988,645.84
  5. Step 5: Solve for x
    x = 5,988,645.84/2,716.34
  6. Step 6: Final answer
    x = 2,204.68

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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.