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Finding the Fourth Proportional to 1,926.34, 2,889.87 and 627.46

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Solution

The fourth proportional to 1,926.34, 2,889.87 and 627.46 is: 941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.34 : 2,889.87 = 627.46 : x
  2. Step 2: Convert to fraction form
    1,926.34/2,889.87 = 627.46/x
  3. Step 3: Cross multiply
    1,926.34x = 2,889.87 × 627.46
  4. Step 4: Simplify right side
    1,926.34x = 1,813,277.83
  5. Step 5: Solve for x
    x = 1,813,277.83/1,926.34
  6. Step 6: Final answer
    x = 941.31

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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.