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Finding the Fourth Proportional to 2,141.72, 2,955.73 and 1,302.27

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Solution

The fourth proportional to 2,141.72, 2,955.73 and 1,302.27 is: 1,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.72 : 2,955.73 = 1,302.27 : x
  2. Step 2: Convert to fraction form
    2,141.72/2,955.73 = 1,302.27/x
  3. Step 3: Cross multiply
    2,141.72x = 2,955.73 × 1,302.27
  4. Step 4: Simplify right side
    2,141.72x = 3,849,157.69
  5. Step 5: Solve for x
    x = 3,849,157.69/2,141.72
  6. Step 6: Final answer
    x = 1,797.23

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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.