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Finding the Fourth Proportional to 2,796.49, 4,195.65 and 1,409.17

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Solution

The fourth proportional to 2,796.49, 4,195.65 and 1,409.17 is: 2,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.49 : 4,195.65 = 1,409.17 : x
  2. Step 2: Convert to fraction form
    2,796.49/4,195.65 = 1,409.17/x
  3. Step 3: Cross multiply
    2,796.49x = 4,195.65 × 1,409.17
  4. Step 4: Simplify right side
    2,796.49x = 5,912,384.11
  5. Step 5: Solve for x
    x = 5,912,384.11/2,796.49
  6. Step 6: Final answer
    x = 2,114.22

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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.