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Finding the Fourth Proportional to 2,092.70, 3,140.26 and 938.45

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Solution

The fourth proportional to 2,092.70, 3,140.26 and 938.45 is: 1,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.70 : 3,140.26 = 938.45 : x
  2. Step 2: Convert to fraction form
    2,092.70/3,140.26 = 938.45/x
  3. Step 3: Cross multiply
    2,092.70x = 3,140.26 × 938.45
  4. Step 4: Simplify right side
    2,092.70x = 2,946,966.39
  5. Step 5: Solve for x
    x = 2,946,966.39/2,092.70
  6. Step 6: Final answer
    x = 1,408.22

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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.