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Finding the Fourth Proportional to 2,109.85, 3,164.70 and 955.60

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Solution

The fourth proportional to 2,109.85, 3,164.70 and 955.60 is: 1,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.85 : 3,164.70 = 955.60 : x
  2. Step 2: Convert to fraction form
    2,109.85/3,164.70 = 955.60/x
  3. Step 3: Cross multiply
    2,109.85x = 3,164.70 × 955.60
  4. Step 4: Simplify right side
    2,109.85x = 3,024,187.32
  5. Step 5: Solve for x
    x = 3,024,187.32/2,109.85
  6. Step 6: Final answer
    x = 1,433.37

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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.