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Finding the Fourth Proportional to 2,270.63, 3,131.08 and 1,797.77

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Solution

The fourth proportional to 2,270.63, 3,131.08 and 1,797.77 is: 2,479.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.63 : 3,131.08 = 1,797.77 : x
  2. Step 2: Convert to fraction form
    2,270.63/3,131.08 = 1,797.77/x
  3. Step 3: Cross multiply
    2,270.63x = 3,131.08 × 1,797.77
  4. Step 4: Simplify right side
    2,270.63x = 5,628,965.02
  5. Step 5: Solve for x
    x = 5,628,965.02/2,270.63
  6. Step 6: Final answer
    x = 2,479.03

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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.