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Finding the Fourth Proportional to 2,057.12, 3,086.02 and 651.64

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Solution

The fourth proportional to 2,057.12, 3,086.02 and 651.64 is: 977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.12 : 3,086.02 = 651.64 : x
  2. Step 2: Convert to fraction form
    2,057.12/3,086.02 = 651.64/x
  3. Step 3: Cross multiply
    2,057.12x = 3,086.02 × 651.64
  4. Step 4: Simplify right side
    2,057.12x = 2,010,974.07
  5. Step 5: Solve for x
    x = 2,010,974.07/2,057.12
  6. Step 6: Final answer
    x = 977.57

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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.