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Finding the Fourth Proportional to 2,205.46, 3,308.04 and 645.40

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Solution

The fourth proportional to 2,205.46, 3,308.04 and 645.40 is: 968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.46 : 3,308.04 = 645.40 : x
  2. Step 2: Convert to fraction form
    2,205.46/3,308.04 = 645.40/x
  3. Step 3: Cross multiply
    2,205.46x = 3,308.04 × 645.40
  4. Step 4: Simplify right side
    2,205.46x = 2,135,013.15
  5. Step 5: Solve for x
    x = 2,135,013.15/2,205.46
  6. Step 6: Final answer
    x = 968.06

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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.