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Finding the Fourth Proportional to 2,178.68, 3,266.18 and 1,518.61

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Solution

The fourth proportional to 2,178.68, 3,266.18 and 1,518.61 is: 2,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.68 : 3,266.18 = 1,518.61 : x
  2. Step 2: Convert to fraction form
    2,178.68/3,266.18 = 1,518.61/x
  3. Step 3: Cross multiply
    2,178.68x = 3,266.18 × 1,518.61
  4. Step 4: Simplify right side
    2,178.68x = 4,960,053.94
  5. Step 5: Solve for x
    x = 4,960,053.94/2,178.68
  6. Step 6: Final answer
    x = 2,276.64

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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.