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Finding the Fourth Proportional to 1,767.81, 2,651.73 and 612.75

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Solution

The fourth proportional to 1,767.81, 2,651.73 and 612.75 is: 919.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.81 : 2,651.73 = 612.75 : x
  2. Step 2: Convert to fraction form
    1,767.81/2,651.73 = 612.75/x
  3. Step 3: Cross multiply
    1,767.81x = 2,651.73 × 612.75
  4. Step 4: Simplify right side
    1,767.81x = 1,624,847.56
  5. Step 5: Solve for x
    x = 1,624,847.56/1,767.81
  6. Step 6: Final answer
    x = 919.13

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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.