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Finding the Fourth Proportional to 2,205.97, 3,307.47 and 1,164.88

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Solution

The fourth proportional to 2,205.97, 3,307.47 and 1,164.88 is: 1,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.97 : 3,307.47 = 1,164.88 : x
  2. Step 2: Convert to fraction form
    2,205.97/3,307.47 = 1,164.88/x
  3. Step 3: Cross multiply
    2,205.97x = 3,307.47 × 1,164.88
  4. Step 4: Simplify right side
    2,205.97x = 3,852,805.65
  5. Step 5: Solve for x
    x = 3,852,805.65/2,205.97
  6. Step 6: Final answer
    x = 1,746.54

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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.