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Finding the Fourth Proportional to 2,141.58, 2,954.28 and 1,396.78

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Solution

The fourth proportional to 2,141.58, 2,954.28 and 1,396.78 is: 1,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.58 : 2,954.28 = 1,396.78 : x
  2. Step 2: Convert to fraction form
    2,141.58/2,954.28 = 1,396.78/x
  3. Step 3: Cross multiply
    2,141.58x = 2,954.28 × 1,396.78
  4. Step 4: Simplify right side
    2,141.58x = 4,126,479.22
  5. Step 5: Solve for x
    x = 4,126,479.22/2,141.58
  6. Step 6: Final answer
    x = 1,926.84

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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.