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Finding the Fourth Proportional to 2,092.48, 3,138.76 and 553.52

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Solution

The fourth proportional to 2,092.48, 3,138.76 and 553.52 is: 830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.48 : 3,138.76 = 553.52 : x
  2. Step 2: Convert to fraction form
    2,092.48/3,138.76 = 553.52/x
  3. Step 3: Cross multiply
    2,092.48x = 3,138.76 × 553.52
  4. Step 4: Simplify right side
    2,092.48x = 1,737,366.44
  5. Step 5: Solve for x
    x = 1,737,366.44/2,092.48
  6. Step 6: Final answer
    x = 830.29

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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.