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Finding the Fourth Proportional to 3,299.63, 4,926.71 and 2,684.49

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Solution

The fourth proportional to 3,299.63, 4,926.71 and 2,684.49 is: 4,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.63 : 4,926.71 = 2,684.49 : x
  2. Step 2: Convert to fraction form
    3,299.63/4,926.71 = 2,684.49/x
  3. Step 3: Cross multiply
    3,299.63x = 4,926.71 × 2,684.49
  4. Step 4: Simplify right side
    3,299.63x = 13,225,690.31
  5. Step 5: Solve for x
    x = 13,225,690.31/3,299.63
  6. Step 6: Final answer
    x = 4,008.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.