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Finding the Fourth Proportional to 1,938.65, 2,907.90 and 551.97

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Solution

The fourth proportional to 1,938.65, 2,907.90 and 551.97 is: 827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.65 : 2,907.90 = 551.97 : x
  2. Step 2: Convert to fraction form
    1,938.65/2,907.90 = 551.97/x
  3. Step 3: Cross multiply
    1,938.65x = 2,907.90 × 551.97
  4. Step 4: Simplify right side
    1,938.65x = 1,605,073.56
  5. Step 5: Solve for x
    x = 1,605,073.56/1,938.65
  6. Step 6: Final answer
    x = 827.94

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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.