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Finding the Fourth Proportional to 2,796.80, 4,193.15 and 1,409.45

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Solution

The fourth proportional to 2,796.80, 4,193.15 and 1,409.45 is: 2,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.80 : 4,193.15 = 1,409.45 : x
  2. Step 2: Convert to fraction form
    2,796.80/4,193.15 = 1,409.45/x
  3. Step 3: Cross multiply
    2,796.80x = 4,193.15 × 1,409.45
  4. Step 4: Simplify right side
    2,796.80x = 5,910,007.25
  5. Step 5: Solve for x
    x = 5,910,007.25/2,796.80
  6. Step 6: Final answer
    x = 2,113.14

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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.