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Finding the Fourth Proportional to 3,086.60, 4,619.10 and 2,114.60

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Solution

The fourth proportional to 3,086.60, 4,619.10 and 2,114.60 is: 3,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.60 : 4,619.10 = 2,114.60 : x
  2. Step 2: Convert to fraction form
    3,086.60/4,619.10 = 2,114.60/x
  3. Step 3: Cross multiply
    3,086.60x = 4,619.10 × 2,114.60
  4. Step 4: Simplify right side
    3,086.60x = 9,767,548.86
  5. Step 5: Solve for x
    x = 9,767,548.86/3,086.60
  6. Step 6: Final answer
    x = 3,164.50

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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.