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Finding the Fourth Proportional to 3,230.34, 4,845.90 and 1,381.68

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Solution

The fourth proportional to 3,230.34, 4,845.90 and 1,381.68 is: 2,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.34 : 4,845.90 = 1,381.68 : x
  2. Step 2: Convert to fraction form
    3,230.34/4,845.90 = 1,381.68/x
  3. Step 3: Cross multiply
    3,230.34x = 4,845.90 × 1,381.68
  4. Step 4: Simplify right side
    3,230.34x = 6,695,483.11
  5. Step 5: Solve for x
    x = 6,695,483.11/3,230.34
  6. Step 6: Final answer
    x = 2,072.69

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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.