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Finding the Fourth Proportional to 2,593.72, 3,578.70 and 1,663.48

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Solution

The fourth proportional to 2,593.72, 3,578.70 and 1,663.48 is: 2,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.72 : 3,578.70 = 1,663.48 : x
  2. Step 2: Convert to fraction form
    2,593.72/3,578.70 = 1,663.48/x
  3. Step 3: Cross multiply
    2,593.72x = 3,578.70 × 1,663.48
  4. Step 4: Simplify right side
    2,593.72x = 5,953,095.88
  5. Step 5: Solve for x
    x = 5,953,095.88/2,593.72
  6. Step 6: Final answer
    x = 2,295.20

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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.