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Finding the Fourth Proportional to 2,962.56, 4,081.56 and 2,463.63

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Solution

The fourth proportional to 2,962.56, 4,081.56 and 2,463.63 is: 3,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.56 : 4,081.56 = 2,463.63 : x
  2. Step 2: Convert to fraction form
    2,962.56/4,081.56 = 2,463.63/x
  3. Step 3: Cross multiply
    2,962.56x = 4,081.56 × 2,463.63
  4. Step 4: Simplify right side
    2,962.56x = 10,055,453.66
  5. Step 5: Solve for x
    x = 10,055,453.66/2,962.56
  6. Step 6: Final answer
    x = 3,394.18

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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.