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Finding the Fourth Proportional to 2,597.62, 3,584.79 and 1,478.53

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Solution

The fourth proportional to 2,597.62, 3,584.79 and 1,478.53 is: 2,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.62 : 3,584.79 = 1,478.53 : x
  2. Step 2: Convert to fraction form
    2,597.62/3,584.79 = 1,478.53/x
  3. Step 3: Cross multiply
    2,597.62x = 3,584.79 × 1,478.53
  4. Step 4: Simplify right side
    2,597.62x = 5,300,201.63
  5. Step 5: Solve for x
    x = 5,300,201.63/2,597.62
  6. Step 6: Final answer
    x = 2,040.41

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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.