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Finding the Fourth Proportional to 3,308.70, 4,967.10 and 1,829.10

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Solution

The fourth proportional to 3,308.70, 4,967.10 and 1,829.10 is: 2,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.70 : 4,967.10 = 1,829.10 : x
  2. Step 2: Convert to fraction form
    3,308.70/4,967.10 = 1,829.10/x
  3. Step 3: Cross multiply
    3,308.70x = 4,967.10 × 1,829.10
  4. Step 4: Simplify right side
    3,308.70x = 9,085,322.61
  5. Step 5: Solve for x
    x = 9,085,322.61/3,308.70
  6. Step 6: Final answer
    x = 2,745.89

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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.