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Finding the Fourth Proportional to 2,114.85, 3,173 and 945.66

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Solution

The fourth proportional to 2,114.85, 3,173 and 945.66 is: 1,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.85 : 3,173 = 945.66 : x
  2. Step 2: Convert to fraction form
    2,114.85/3,173 = 945.66/x
  3. Step 3: Cross multiply
    2,114.85x = 3,173 × 945.66
  4. Step 4: Simplify right side
    2,114.85x = 3,000,579.18
  5. Step 5: Solve for x
    x = 3,000,579.18/2,114.85
  6. Step 6: Final answer
    x = 1,418.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.