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Finding the Fourth Proportional to 2,363.57, 3,261.81 and 1,301.45

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Solution

The fourth proportional to 2,363.57, 3,261.81 and 1,301.45 is: 1,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.57 : 3,261.81 = 1,301.45 : x
  2. Step 2: Convert to fraction form
    2,363.57/3,261.81 = 1,301.45/x
  3. Step 3: Cross multiply
    2,363.57x = 3,261.81 × 1,301.45
  4. Step 4: Simplify right side
    2,363.57x = 4,245,082.62
  5. Step 5: Solve for x
    x = 4,245,082.62/2,363.57
  6. Step 6: Final answer
    x = 1,796.05

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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.