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Finding the Fourth Proportional to 2,162.53, 3,241.49 and 930.04

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Solution

The fourth proportional to 2,162.53, 3,241.49 and 930.04 is: 1,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.53 : 3,241.49 = 930.04 : x
  2. Step 2: Convert to fraction form
    2,162.53/3,241.49 = 930.04/x
  3. Step 3: Cross multiply
    2,162.53x = 3,241.49 × 930.04
  4. Step 4: Simplify right side
    2,162.53x = 3,014,707.84
  5. Step 5: Solve for x
    x = 3,014,707.84/2,162.53
  6. Step 6: Final answer
    x = 1,394.06

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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.