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Finding the Fourth Proportional to 2,122.79, 3,178.29 and 1,080.55

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Solution

The fourth proportional to 2,122.79, 3,178.29 and 1,080.55 is: 1,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.79 : 3,178.29 = 1,080.55 : x
  2. Step 2: Convert to fraction form
    2,122.79/3,178.29 = 1,080.55/x
  3. Step 3: Cross multiply
    2,122.79x = 3,178.29 × 1,080.55
  4. Step 4: Simplify right side
    2,122.79x = 3,434,307.68
  5. Step 5: Solve for x
    x = 3,434,307.68/2,122.79
  6. Step 6: Final answer
    x = 1,617.82

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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.