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Finding the Fourth Proportional to 2,597.43, 3,584.34 and 1,478.61

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Solution

The fourth proportional to 2,597.43, 3,584.34 and 1,478.61 is: 2,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.43 : 3,584.34 = 1,478.61 : x
  2. Step 2: Convert to fraction form
    2,597.43/3,584.34 = 1,478.61/x
  3. Step 3: Cross multiply
    2,597.43x = 3,584.34 × 1,478.61
  4. Step 4: Simplify right side
    2,597.43x = 5,299,840.97
  5. Step 5: Solve for x
    x = 5,299,840.97/2,597.43
  6. Step 6: Final answer
    x = 2,040.42

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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.