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Finding the Fourth Proportional to 2,104.70, 3,154.26 and 1,615.36

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Solution

The fourth proportional to 2,104.70, 3,154.26 and 1,615.36 is: 2,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.70 : 3,154.26 = 1,615.36 : x
  2. Step 2: Convert to fraction form
    2,104.70/3,154.26 = 1,615.36/x
  3. Step 3: Cross multiply
    2,104.70x = 3,154.26 × 1,615.36
  4. Step 4: Simplify right side
    2,104.70x = 5,095,265.43
  5. Step 5: Solve for x
    x = 5,095,265.43/2,104.70
  6. Step 6: Final answer
    x = 2,420.90

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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.