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Finding the Fourth Proportional to 2,057.66, 2,837.97 and 1,821.86

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Solution

The fourth proportional to 2,057.66, 2,837.97 and 1,821.86 is: 2,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.66 : 2,837.97 = 1,821.86 : x
  2. Step 2: Convert to fraction form
    2,057.66/2,837.97 = 1,821.86/x
  3. Step 3: Cross multiply
    2,057.66x = 2,837.97 × 1,821.86
  4. Step 4: Simplify right side
    2,057.66x = 5,170,384.02
  5. Step 5: Solve for x
    x = 5,170,384.02/2,057.66
  6. Step 6: Final answer
    x = 2,512.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.