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Finding the Fourth Proportional to 3,308.81, 4,963.82 and 1,230.24

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Solution

The fourth proportional to 3,308.81, 4,963.82 and 1,230.24 is: 1,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.81 : 4,963.82 = 1,230.24 : x
  2. Step 2: Convert to fraction form
    3,308.81/4,963.82 = 1,230.24/x
  3. Step 3: Cross multiply
    3,308.81x = 4,963.82 × 1,230.24
  4. Step 4: Simplify right side
    3,308.81x = 6,106,702.38
  5. Step 5: Solve for x
    x = 6,106,702.38/3,308.81
  6. Step 6: Final answer
    x = 1,845.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.