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Finding the Fourth Proportional to 2,086.83, 3,130.22 and 627.01

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Solution

The fourth proportional to 2,086.83, 3,130.22 and 627.01 is: 940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.83 : 3,130.22 = 627.01 : x
  2. Step 2: Convert to fraction form
    2,086.83/3,130.22 = 627.01/x
  3. Step 3: Cross multiply
    2,086.83x = 3,130.22 × 627.01
  4. Step 4: Simplify right side
    2,086.83x = 1,962,672.98
  5. Step 5: Solve for x
    x = 1,962,672.98/2,086.83
  6. Step 6: Final answer
    x = 940.50

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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.