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Finding the Fourth Proportional to 2,086.76, 3,130.62 and 625.88

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Solution

The fourth proportional to 2,086.76, 3,130.62 and 625.88 is: 938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.76 : 3,130.62 = 625.88 : x
  2. Step 2: Convert to fraction form
    2,086.76/3,130.62 = 625.88/x
  3. Step 3: Cross multiply
    2,086.76x = 3,130.62 × 625.88
  4. Step 4: Simplify right side
    2,086.76x = 1,959,392.45
  5. Step 5: Solve for x
    x = 1,959,392.45/2,086.76
  6. Step 6: Final answer
    x = 938.96

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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.