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Finding the Fourth Proportional to 1,797.72, 2,480.93 and 1,012.02

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Solution

The fourth proportional to 1,797.72, 2,480.93 and 1,012.02 is: 1,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.72 : 2,480.93 = 1,012.02 : x
  2. Step 2: Convert to fraction form
    1,797.72/2,480.93 = 1,012.02/x
  3. Step 3: Cross multiply
    1,797.72x = 2,480.93 × 1,012.02
  4. Step 4: Simplify right side
    1,797.72x = 2,510,750.78
  5. Step 5: Solve for x
    x = 2,510,750.78/1,797.72
  6. Step 6: Final answer
    x = 1,396.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.