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Finding the Fourth Proportional to 2,361, 3,258.24 and 1,313.04

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Solution

The fourth proportional to 2,361, 3,258.24 and 1,313.04 is: 1,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361 : 3,258.24 = 1,313.04 : x
  2. Step 2: Convert to fraction form
    2,361/3,258.24 = 1,313.04/x
  3. Step 3: Cross multiply
    2,361x = 3,258.24 × 1,313.04
  4. Step 4: Simplify right side
    2,361x = 4,278,199.45
  5. Step 5: Solve for x
    x = 4,278,199.45/2,361
  6. Step 6: Final answer
    x = 1,812.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.