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Finding the Fourth Proportional to 2,844.76, 3,920.52 and 2,057.44

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Solution

The fourth proportional to 2,844.76, 3,920.52 and 2,057.44 is: 2,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.76 : 3,920.52 = 2,057.44 : x
  2. Step 2: Convert to fraction form
    2,844.76/3,920.52 = 2,057.44/x
  3. Step 3: Cross multiply
    2,844.76x = 3,920.52 × 2,057.44
  4. Step 4: Simplify right side
    2,844.76x = 8,066,234.67
  5. Step 5: Solve for x
    x = 8,066,234.67/2,844.76
  6. Step 6: Final answer
    x = 2,835.47

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Double scale
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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.