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Finding the Fourth Proportional to 2,242.54, 3,361.92 and 1,071.88

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Solution

The fourth proportional to 2,242.54, 3,361.92 and 1,071.88 is: 1,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.54 : 3,361.92 = 1,071.88 : x
  2. Step 2: Convert to fraction form
    2,242.54/3,361.92 = 1,071.88/x
  3. Step 3: Cross multiply
    2,242.54x = 3,361.92 × 1,071.88
  4. Step 4: Simplify right side
    2,242.54x = 3,603,574.81
  5. Step 5: Solve for x
    x = 3,603,574.81/2,242.54
  6. Step 6: Final answer
    x = 1,606.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.