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Finding the Fourth Proportional to 2,496.33, 3,739.50 and 1,615.80

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Solution

The fourth proportional to 2,496.33, 3,739.50 and 1,615.80 is: 2,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.33 : 3,739.50 = 1,615.80 : x
  2. Step 2: Convert to fraction form
    2,496.33/3,739.50 = 1,615.80/x
  3. Step 3: Cross multiply
    2,496.33x = 3,739.50 × 1,615.80
  4. Step 4: Simplify right side
    2,496.33x = 6,042,284.10
  5. Step 5: Solve for x
    x = 6,042,284.10/2,496.33
  6. Step 6: Final answer
    x = 2,420.47

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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.