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Finding the Fourth Proportional to 1,926.44, 2,889.66 and 627.88

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Solution

The fourth proportional to 1,926.44, 2,889.66 and 627.88 is: 941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.44 : 2,889.66 = 627.88 : x
  2. Step 2: Convert to fraction form
    1,926.44/2,889.66 = 627.88/x
  3. Step 3: Cross multiply
    1,926.44x = 2,889.66 × 627.88
  4. Step 4: Simplify right side
    1,926.44x = 1,814,359.72
  5. Step 5: Solve for x
    x = 1,814,359.72/1,926.44
  6. Step 6: Final answer
    x = 941.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.