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Finding the Fourth Proportional to 2,404.97, 3,597.96 and 1,821.65

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Solution

The fourth proportional to 2,404.97, 3,597.96 and 1,821.65 is: 2,725.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.97 : 3,597.96 = 1,821.65 : x
  2. Step 2: Convert to fraction form
    2,404.97/3,597.96 = 1,821.65/x
  3. Step 3: Cross multiply
    2,404.97x = 3,597.96 × 1,821.65
  4. Step 4: Simplify right side
    2,404.97x = 6,554,212.51
  5. Step 5: Solve for x
    x = 6,554,212.51/2,404.97
  6. Step 6: Final answer
    x = 2,725.28

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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.