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Finding the Fourth Proportional to 3,282.63, 4,528.74 and 2,164.15

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Solution

The fourth proportional to 3,282.63, 4,528.74 and 2,164.15 is: 2,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.63 : 4,528.74 = 2,164.15 : x
  2. Step 2: Convert to fraction form
    3,282.63/4,528.74 = 2,164.15/x
  3. Step 3: Cross multiply
    3,282.63x = 4,528.74 × 2,164.15
  4. Step 4: Simplify right side
    3,282.63x = 9,800,872.67
  5. Step 5: Solve for x
    x = 9,800,872.67/3,282.63
  6. Step 6: Final answer
    x = 2,985.68

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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.