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Finding the Fourth Proportional to 2,561.60, 3,538.41 and 2,464.40

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Solution

The fourth proportional to 2,561.60, 3,538.41 and 2,464.40 is: 3,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.60 : 3,538.41 = 2,464.40 : x
  2. Step 2: Convert to fraction form
    2,561.60/3,538.41 = 2,464.40/x
  3. Step 3: Cross multiply
    2,561.60x = 3,538.41 × 2,464.40
  4. Step 4: Simplify right side
    2,561.60x = 8,720,057.60
  5. Step 5: Solve for x
    x = 8,720,057.60/2,561.60
  6. Step 6: Final answer
    x = 3,404.14

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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.