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Finding the Fourth Proportional to 3,308.28, 4,962.42 and 1,483

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Solution

The fourth proportional to 3,308.28, 4,962.42 and 1,483 is: 2,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.28 : 4,962.42 = 1,483 : x
  2. Step 2: Convert to fraction form
    3,308.28/4,962.42 = 1,483/x
  3. Step 3: Cross multiply
    3,308.28x = 4,962.42 × 1,483
  4. Step 4: Simplify right side
    3,308.28x = 7,359,268.86
  5. Step 5: Solve for x
    x = 7,359,268.86/3,308.28
  6. Step 6: Final answer
    x = 2,224.50

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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.