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Finding the Fourth Proportional to 2,597.52, 3,584.58 and 1,418.61

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Solution

The fourth proportional to 2,597.52, 3,584.58 and 1,418.61 is: 1,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.52 : 3,584.58 = 1,418.61 : x
  2. Step 2: Convert to fraction form
    2,597.52/3,584.58 = 1,418.61/x
  3. Step 3: Cross multiply
    2,597.52x = 3,584.58 × 1,418.61
  4. Step 4: Simplify right side
    2,597.52x = 5,085,121.03
  5. Step 5: Solve for x
    x = 5,085,121.03/2,597.52
  6. Step 6: Final answer
    x = 1,957.68

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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.