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Finding the Fourth Proportional to 2,086.63, 3,130.88 and 1,099.21

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Solution

The fourth proportional to 2,086.63, 3,130.88 and 1,099.21 is: 1,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.63 : 3,130.88 = 1,099.21 : x
  2. Step 2: Convert to fraction form
    2,086.63/3,130.88 = 1,099.21/x
  3. Step 3: Cross multiply
    2,086.63x = 3,130.88 × 1,099.21
  4. Step 4: Simplify right side
    2,086.63x = 3,441,494.60
  5. Step 5: Solve for x
    x = 3,441,494.60/2,086.63
  6. Step 6: Final answer
    x = 1,649.31

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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.