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Finding the Fourth Proportional to 2,807.70, 4,208.70 and 1,768.44

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Solution

The fourth proportional to 2,807.70, 4,208.70 and 1,768.44 is: 2,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.70 : 4,208.70 = 1,768.44 : x
  2. Step 2: Convert to fraction form
    2,807.70/4,208.70 = 1,768.44/x
  3. Step 3: Cross multiply
    2,807.70x = 4,208.70 × 1,768.44
  4. Step 4: Simplify right side
    2,807.70x = 7,442,833.43
  5. Step 5: Solve for x
    x = 7,442,833.43/2,807.70
  6. Step 6: Final answer
    x = 2,650.86

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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.