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Finding the Fourth Proportional to 2,593.14, 3,578.36 and 1,473.98

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Solution

The fourth proportional to 2,593.14, 3,578.36 and 1,473.98 is: 2,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.14 : 3,578.36 = 1,473.98 : x
  2. Step 2: Convert to fraction form
    2,593.14/3,578.36 = 1,473.98/x
  3. Step 3: Cross multiply
    2,593.14x = 3,578.36 × 1,473.98
  4. Step 4: Simplify right side
    2,593.14x = 5,274,431.07
  5. Step 5: Solve for x
    x = 5,274,431.07/2,593.14
  6. Step 6: Final answer
    x = 2,033.99

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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.