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Finding the Fourth Proportional to 2,593.45, 3,889.09 and 1,033.17

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Solution

The fourth proportional to 2,593.45, 3,889.09 and 1,033.17 is: 1,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.45 : 3,889.09 = 1,033.17 : x
  2. Step 2: Convert to fraction form
    2,593.45/3,889.09 = 1,033.17/x
  3. Step 3: Cross multiply
    2,593.45x = 3,889.09 × 1,033.17
  4. Step 4: Simplify right side
    2,593.45x = 4,018,091.12
  5. Step 5: Solve for x
    x = 4,018,091.12/2,593.45
  6. Step 6: Final answer
    x = 1,549.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.