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Finding the Fourth Proportional to 2,561.16, 3,530.94 and 2,505.96

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Solution

The fourth proportional to 2,561.16, 3,530.94 and 2,505.96 is: 3,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.16 : 3,530.94 = 2,505.96 : x
  2. Step 2: Convert to fraction form
    2,561.16/3,530.94 = 2,505.96/x
  3. Step 3: Cross multiply
    2,561.16x = 3,530.94 × 2,505.96
  4. Step 4: Simplify right side
    2,561.16x = 8,848,394.40
  5. Step 5: Solve for x
    x = 8,848,394.40/2,561.16
  6. Step 6: Final answer
    x = 3,454.84

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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.