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Finding the Fourth Proportional to 3,261.76, 4,501.24 and 1,769.70

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Solution

The fourth proportional to 3,261.76, 4,501.24 and 1,769.70 is: 2,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.76 : 4,501.24 = 1,769.70 : x
  2. Step 2: Convert to fraction form
    3,261.76/4,501.24 = 1,769.70/x
  3. Step 3: Cross multiply
    3,261.76x = 4,501.24 × 1,769.70
  4. Step 4: Simplify right side
    3,261.76x = 7,965,844.43
  5. Step 5: Solve for x
    x = 7,965,844.43/3,261.76
  6. Step 6: Final answer
    x = 2,442.19

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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.