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Finding the Fourth Proportional to 1,340.97, 2,011.46 and 367.08

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Solution

The fourth proportional to 1,340.97, 2,011.46 and 367.08 is: 550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.97 : 2,011.46 = 367.08 : x
  2. Step 2: Convert to fraction form
    1,340.97/2,011.46 = 367.08/x
  3. Step 3: Cross multiply
    1,340.97x = 2,011.46 × 367.08
  4. Step 4: Simplify right side
    1,340.97x = 738,364.90
  5. Step 5: Solve for x
    x = 738,364.90/1,340.97
  6. Step 6: Final answer
    x = 550.62

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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.