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Finding the Fourth Proportional to 2,184.68, 3,274.71 and 1,489.62

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Solution

The fourth proportional to 2,184.68, 3,274.71 and 1,489.62 is: 2,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.68 : 3,274.71 = 1,489.62 : x
  2. Step 2: Convert to fraction form
    2,184.68/3,274.71 = 1,489.62/x
  3. Step 3: Cross multiply
    2,184.68x = 3,274.71 × 1,489.62
  4. Step 4: Simplify right side
    2,184.68x = 4,878,066.06
  5. Step 5: Solve for x
    x = 4,878,066.06/2,184.68
  6. Step 6: Final answer
    x = 2,232.86

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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.