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Finding the Fourth Proportional to 2,597.44, 3,584.33 and 1,478.39

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Solution

The fourth proportional to 2,597.44, 3,584.33 and 1,478.39 is: 2,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.44 : 3,584.33 = 1,478.39 : x
  2. Step 2: Convert to fraction form
    2,597.44/3,584.33 = 1,478.39/x
  3. Step 3: Cross multiply
    2,597.44x = 3,584.33 × 1,478.39
  4. Step 4: Simplify right side
    2,597.44x = 5,299,028.82
  5. Step 5: Solve for x
    x = 5,299,028.82/2,597.44
  6. Step 6: Final answer
    x = 2,040.10

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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.