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Finding the Fourth Proportional to 3,308.50, 4,963.56 and 1,000

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Solution

The fourth proportional to 3,308.50, 4,963.56 and 1,000 is: 1,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.50 : 4,963.56 = 1,000 : x
  2. Step 2: Convert to fraction form
    3,308.50/4,963.56 = 1,000/x
  3. Step 3: Cross multiply
    3,308.50x = 4,963.56 × 1,000
  4. Step 4: Simplify right side
    3,308.50x = 4,963,560
  5. Step 5: Solve for x
    x = 4,963,560/3,308.50
  6. Step 6: Final answer
    x = 1,500.24

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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.