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Finding the Fourth Proportional to 2,141.72, 2,956.43 and 1,396.31

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Solution

The fourth proportional to 2,141.72, 2,956.43 and 1,396.31 is: 1,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.72 : 2,956.43 = 1,396.31 : x
  2. Step 2: Convert to fraction form
    2,141.72/2,956.43 = 1,396.31/x
  3. Step 3: Cross multiply
    2,141.72x = 2,956.43 × 1,396.31
  4. Step 4: Simplify right side
    2,141.72x = 4,128,092.77
  5. Step 5: Solve for x
    x = 4,128,092.77/2,141.72
  6. Step 6: Final answer
    x = 1,927.47

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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.