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Finding the Fourth Proportional to 1,938.89, 2,905.29 and 768.26

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Solution

The fourth proportional to 1,938.89, 2,905.29 and 768.26 is: 1,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.89 : 2,905.29 = 768.26 : x
  2. Step 2: Convert to fraction form
    1,938.89/2,905.29 = 768.26/x
  3. Step 3: Cross multiply
    1,938.89x = 2,905.29 × 768.26
  4. Step 4: Simplify right side
    1,938.89x = 2,232,003.57
  5. Step 5: Solve for x
    x = 2,232,003.57/1,938.89
  6. Step 6: Final answer
    x = 1,151.18

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1.5x scale

Why These Related Problems?

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