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Finding the Fourth Proportional to 2,953.68, 4,433.16 and 2,640.84

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Solution

The fourth proportional to 2,953.68, 4,433.16 and 2,640.84 is: 3,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.68 : 4,433.16 = 2,640.84 : x
  2. Step 2: Convert to fraction form
    2,953.68/4,433.16 = 2,640.84/x
  3. Step 3: Cross multiply
    2,953.68x = 4,433.16 × 2,640.84
  4. Step 4: Simplify right side
    2,953.68x = 11,707,266.25
  5. Step 5: Solve for x
    x = 11,707,266.25/2,953.68
  6. Step 6: Final answer
    x = 3,963.62

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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.