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Finding the Fourth Proportional to 2,561.63, 3,842.53 and 1,465.49

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Solution

The fourth proportional to 2,561.63, 3,842.53 and 1,465.49 is: 2,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.63 : 3,842.53 = 1,465.49 : x
  2. Step 2: Convert to fraction form
    2,561.63/3,842.53 = 1,465.49/x
  3. Step 3: Cross multiply
    2,561.63x = 3,842.53 × 1,465.49
  4. Step 4: Simplify right side
    2,561.63x = 5,631,189.29
  5. Step 5: Solve for x
    x = 5,631,189.29/2,561.63
  6. Step 6: Final answer
    x = 2,198.28

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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.