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Finding the Fourth Proportional to 2,057.15, 3,086.19 and 670.47

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Solution

The fourth proportional to 2,057.15, 3,086.19 and 670.47 is: 1,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.15 : 3,086.19 = 670.47 : x
  2. Step 2: Convert to fraction form
    2,057.15/3,086.19 = 670.47/x
  3. Step 3: Cross multiply
    2,057.15x = 3,086.19 × 670.47
  4. Step 4: Simplify right side
    2,057.15x = 2,069,197.81
  5. Step 5: Solve for x
    x = 2,069,197.81/2,057.15
  6. Step 6: Final answer
    x = 1,005.86

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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.