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Finding the Fourth Proportional to 1,340.65, 2,011.22 and 416.15

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Solution

The fourth proportional to 1,340.65, 2,011.22 and 416.15 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.65 : 2,011.22 = 416.15 : x
  2. Step 2: Convert to fraction form
    1,340.65/2,011.22 = 416.15/x
  3. Step 3: Cross multiply
    1,340.65x = 2,011.22 × 416.15
  4. Step 4: Simplify right side
    1,340.65x = 836,961.68
  5. Step 5: Solve for x
    x = 836,961.68/1,340.65
  6. Step 6: Final answer
    x = 624.29

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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.