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Finding the Fourth Proportional to 2,615.80, 3,609.83 and 1,420.80

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Solution

The fourth proportional to 2,615.80, 3,609.83 and 1,420.80 is: 1,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.80 : 3,609.83 = 1,420.80 : x
  2. Step 2: Convert to fraction form
    2,615.80/3,609.83 = 1,420.80/x
  3. Step 3: Cross multiply
    2,615.80x = 3,609.83 × 1,420.80
  4. Step 4: Simplify right side
    2,615.80x = 5,128,821.31
  5. Step 5: Solve for x
    x = 5,128,821.31/2,615.80
  6. Step 6: Final answer
    x = 1,960.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.