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Finding the Fourth Proportional to 2,162.14, 3,242.04 and 846.34

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Solution

The fourth proportional to 2,162.14, 3,242.04 and 846.34 is: 1,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.14 : 3,242.04 = 846.34 : x
  2. Step 2: Convert to fraction form
    2,162.14/3,242.04 = 846.34/x
  3. Step 3: Cross multiply
    2,162.14x = 3,242.04 × 846.34
  4. Step 4: Simplify right side
    2,162.14x = 2,743,868.13
  5. Step 5: Solve for x
    x = 2,743,868.13/2,162.14
  6. Step 6: Final answer
    x = 1,269.05

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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.