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Finding the Fourth Proportional to 2,142.72, 2,956.30 and 1,396.41

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Solution

The fourth proportional to 2,142.72, 2,956.30 and 1,396.41 is: 1,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.72 : 2,956.30 = 1,396.41 : x
  2. Step 2: Convert to fraction form
    2,142.72/2,956.30 = 1,396.41/x
  3. Step 3: Cross multiply
    2,142.72x = 2,956.30 × 1,396.41
  4. Step 4: Simplify right side
    2,142.72x = 4,128,192.31
  5. Step 5: Solve for x
    x = 4,128,192.31/2,142.72
  6. Step 6: Final answer
    x = 1,926.61

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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.