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Finding the Fourth Proportional to 2,057.54, 3,086.27 and 497.53

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Solution

The fourth proportional to 2,057.54, 3,086.27 and 497.53 is: 746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.54 : 3,086.27 = 497.53 : x
  2. Step 2: Convert to fraction form
    2,057.54/3,086.27 = 497.53/x
  3. Step 3: Cross multiply
    2,057.54x = 3,086.27 × 497.53
  4. Step 4: Simplify right side
    2,057.54x = 1,535,511.91
  5. Step 5: Solve for x
    x = 1,535,511.91/2,057.54
  6. Step 6: Final answer
    x = 746.29

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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.