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Finding the Fourth Proportional to 2,955.22, 4,080.16 and 2,281.80

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Solution

The fourth proportional to 2,955.22, 4,080.16 and 2,281.80 is: 3,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.22 : 4,080.16 = 2,281.80 : x
  2. Step 2: Convert to fraction form
    2,955.22/4,080.16 = 2,281.80/x
  3. Step 3: Cross multiply
    2,955.22x = 4,080.16 × 2,281.80
  4. Step 4: Simplify right side
    2,955.22x = 9,310,109.09
  5. Step 5: Solve for x
    x = 9,310,109.09/2,955.22
  6. Step 6: Final answer
    x = 3,150.39

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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.