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Finding the Fourth Proportional to 2,597.37, 3,584.48 and 1,418.44

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Solution

The fourth proportional to 2,597.37, 3,584.48 and 1,418.44 is: 1,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.37 : 3,584.48 = 1,418.44 : x
  2. Step 2: Convert to fraction form
    2,597.37/3,584.48 = 1,418.44/x
  3. Step 3: Cross multiply
    2,597.37x = 3,584.48 × 1,418.44
  4. Step 4: Simplify right side
    2,597.37x = 5,084,369.81
  5. Step 5: Solve for x
    x = 5,084,369.81/2,597.37
  6. Step 6: Final answer
    x = 1,957.51

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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.