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Finding the Fourth Proportional to 4,203, 6,304.50 and 1,467

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Solution

The fourth proportional to 4,203, 6,304.50 and 1,467 is: 2,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203 : 6,304.50 = 1,467 : x
  2. Step 2: Convert to fraction form
    4,203/6,304.50 = 1,467/x
  3. Step 3: Cross multiply
    4,203x = 6,304.50 × 1,467
  4. Step 4: Simplify right side
    4,203x = 9,248,701.50
  5. Step 5: Solve for x
    x = 9,248,701.50/4,203
  6. Step 6: Final answer
    x = 2,200.50

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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.