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Finding the Fourth Proportional to 2,578.92, 3,559.10 and 1,583.96

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Solution

The fourth proportional to 2,578.92, 3,559.10 and 1,583.96 is: 2,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.92 : 3,559.10 = 1,583.96 : x
  2. Step 2: Convert to fraction form
    2,578.92/3,559.10 = 1,583.96/x
  3. Step 3: Cross multiply
    2,578.92x = 3,559.10 × 1,583.96
  4. Step 4: Simplify right side
    2,578.92x = 5,637,472.04
  5. Step 5: Solve for x
    x = 5,637,472.04/2,578.92
  6. Step 6: Final answer
    x = 2,185.98

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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.