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Finding the Fourth Proportional to 2,561.63, 3,535.07 and 1,553.31

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Solution

The fourth proportional to 2,561.63, 3,535.07 and 1,553.31 is: 2,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.63 : 3,535.07 = 1,553.31 : x
  2. Step 2: Convert to fraction form
    2,561.63/3,535.07 = 1,553.31/x
  3. Step 3: Cross multiply
    2,561.63x = 3,535.07 × 1,553.31
  4. Step 4: Simplify right side
    2,561.63x = 5,491,051.82
  5. Step 5: Solve for x
    x = 5,491,051.82/2,561.63
  6. Step 6: Final answer
    x = 2,143.58

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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.