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Finding the Fourth Proportional to 2,955.87, 4,080.80 and 1,962.51

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Solution

The fourth proportional to 2,955.87, 4,080.80 and 1,962.51 is: 2,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.87 : 4,080.80 = 1,962.51 : x
  2. Step 2: Convert to fraction form
    2,955.87/4,080.80 = 1,962.51/x
  3. Step 3: Cross multiply
    2,955.87x = 4,080.80 × 1,962.51
  4. Step 4: Simplify right side
    2,955.87x = 8,008,601.00
  5. Step 5: Solve for x
    x = 8,008,601.00/2,955.87
  6. Step 6: Final answer
    x = 2,709.39

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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.