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Finding the Fourth Proportional to 4,308.34, 6,463.50 and 1,230.34

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Solution

The fourth proportional to 4,308.34, 6,463.50 and 1,230.34 is: 1,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.34 : 6,463.50 = 1,230.34 : x
  2. Step 2: Convert to fraction form
    4,308.34/6,463.50 = 1,230.34/x
  3. Step 3: Cross multiply
    4,308.34x = 6,463.50 × 1,230.34
  4. Step 4: Simplify right side
    4,308.34x = 7,952,302.59
  5. Step 5: Solve for x
    x = 7,952,302.59/4,308.34
  6. Step 6: Final answer
    x = 1,845.79

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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.