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Finding the Fourth Proportional to 2,820.04, 3,891.88 and 1,641.48

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Solution

The fourth proportional to 2,820.04, 3,891.88 and 1,641.48 is: 2,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.04 : 3,891.88 = 1,641.48 : x
  2. Step 2: Convert to fraction form
    2,820.04/3,891.88 = 1,641.48/x
  3. Step 3: Cross multiply
    2,820.04x = 3,891.88 × 1,641.48
  4. Step 4: Simplify right side
    2,820.04x = 6,388,443.18
  5. Step 5: Solve for x
    x = 6,388,443.18/2,820.04
  6. Step 6: Final answer
    x = 2,265.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.