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Finding the Fourth Proportional to 2,716.42, 3,747.36 and 1,597.31

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Solution

The fourth proportional to 2,716.42, 3,747.36 and 1,597.31 is: 2,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.42 : 3,747.36 = 1,597.31 : x
  2. Step 2: Convert to fraction form
    2,716.42/3,747.36 = 1,597.31/x
  3. Step 3: Cross multiply
    2,716.42x = 3,747.36 × 1,597.31
  4. Step 4: Simplify right side
    2,716.42x = 5,985,695.60
  5. Step 5: Solve for x
    x = 5,985,695.60/2,716.42
  6. Step 6: Final answer
    x = 2,203.52

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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.