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Finding the Fourth Proportional to 1,396.73, 1,926.50 and 924.36

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Solution

The fourth proportional to 1,396.73, 1,926.50 and 924.36 is: 1,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.73 : 1,926.50 = 924.36 : x
  2. Step 2: Convert to fraction form
    1,396.73/1,926.50 = 924.36/x
  3. Step 3: Cross multiply
    1,396.73x = 1,926.50 × 924.36
  4. Step 4: Simplify right side
    1,396.73x = 1,780,774.92
  5. Step 5: Solve for x
    x = 1,780,774.92/1,396.73
  6. Step 6: Final answer
    x = 1,274.96

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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.