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Finding the Fourth Proportional to 3,379.34, 5,069.07 and 1,431.18

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Solution

The fourth proportional to 3,379.34, 5,069.07 and 1,431.18 is: 2,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.34 : 5,069.07 = 1,431.18 : x
  2. Step 2: Convert to fraction form
    3,379.34/5,069.07 = 1,431.18/x
  3. Step 3: Cross multiply
    3,379.34x = 5,069.07 × 1,431.18
  4. Step 4: Simplify right side
    3,379.34x = 7,254,751.60
  5. Step 5: Solve for x
    x = 7,254,751.60/3,379.34
  6. Step 6: Final answer
    x = 2,146.80

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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.