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Finding the Fourth Proportional to 2,114.60, 3,173.10 and 816.14

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Solution

The fourth proportional to 2,114.60, 3,173.10 and 816.14 is: 1,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.60 : 3,173.10 = 816.14 : x
  2. Step 2: Convert to fraction form
    2,114.60/3,173.10 = 816.14/x
  3. Step 3: Cross multiply
    2,114.60x = 3,173.10 × 816.14
  4. Step 4: Simplify right side
    2,114.60x = 2,589,693.83
  5. Step 5: Solve for x
    x = 2,589,693.83/2,114.60
  6. Step 6: Final answer
    x = 1,224.67

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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.