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Finding the Fourth Proportional to 1,938.26, 2,907.56 and 551.60

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Solution

The fourth proportional to 1,938.26, 2,907.56 and 551.60 is: 827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.26 : 2,907.56 = 551.60 : x
  2. Step 2: Convert to fraction form
    1,938.26/2,907.56 = 551.60/x
  3. Step 3: Cross multiply
    1,938.26x = 2,907.56 × 551.60
  4. Step 4: Simplify right side
    1,938.26x = 1,603,810.10
  5. Step 5: Solve for x
    x = 1,603,810.10/1,938.26
  6. Step 6: Final answer
    x = 827.45

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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.