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Finding the Fourth Proportional to 2,086.56, 3,130.02 and 625.86

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Solution

The fourth proportional to 2,086.56, 3,130.02 and 625.86 is: 938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.56 : 3,130.02 = 625.86 : x
  2. Step 2: Convert to fraction form
    2,086.56/3,130.02 = 625.86/x
  3. Step 3: Cross multiply
    2,086.56x = 3,130.02 × 625.86
  4. Step 4: Simplify right side
    2,086.56x = 1,958,954.32
  5. Step 5: Solve for x
    x = 1,958,954.32/2,086.56
  6. Step 6: Final answer
    x = 938.84

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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.