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Finding the Fourth Proportional to 2,205.06, 3,307.71 and 905.64

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Solution

The fourth proportional to 2,205.06, 3,307.71 and 905.64 is: 1,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.06 : 3,307.71 = 905.64 : x
  2. Step 2: Convert to fraction form
    2,205.06/3,307.71 = 905.64/x
  3. Step 3: Cross multiply
    2,205.06x = 3,307.71 × 905.64
  4. Step 4: Simplify right side
    2,205.06x = 2,995,594.48
  5. Step 5: Solve for x
    x = 2,995,594.48/2,205.06
  6. Step 6: Final answer
    x = 1,358.51

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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.