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Finding the Fourth Proportional to 1,926.78, 2,890.63 and 628.25

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Solution

The fourth proportional to 1,926.78, 2,890.63 and 628.25 is: 942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.78 : 2,890.63 = 628.25 : x
  2. Step 2: Convert to fraction form
    1,926.78/2,890.63 = 628.25/x
  3. Step 3: Cross multiply
    1,926.78x = 2,890.63 × 628.25
  4. Step 4: Simplify right side
    1,926.78x = 1,816,038.30
  5. Step 5: Solve for x
    x = 1,816,038.30/1,926.78
  6. Step 6: Final answer
    x = 942.52

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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.