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Finding the Fourth Proportional to 3,433.60, 5,146.41 and 1,580.82

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Solution

The fourth proportional to 3,433.60, 5,146.41 and 1,580.82 is: 2,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.60 : 5,146.41 = 1,580.82 : x
  2. Step 2: Convert to fraction form
    3,433.60/5,146.41 = 1,580.82/x
  3. Step 3: Cross multiply
    3,433.60x = 5,146.41 × 1,580.82
  4. Step 4: Simplify right side
    3,433.60x = 8,135,567.14
  5. Step 5: Solve for x
    x = 8,135,567.14/3,433.60
  6. Step 6: Final answer
    x = 2,369.40

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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.