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Finding the Fourth Proportional to 2,810.80, 3,878.40 and 1,815.88

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Solution

The fourth proportional to 2,810.80, 3,878.40 and 1,815.88 is: 2,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.80 : 3,878.40 = 1,815.88 : x
  2. Step 2: Convert to fraction form
    2,810.80/3,878.40 = 1,815.88/x
  3. Step 3: Cross multiply
    2,810.80x = 3,878.40 × 1,815.88
  4. Step 4: Simplify right side
    2,810.80x = 7,042,708.99
  5. Step 5: Solve for x
    x = 7,042,708.99/2,810.80
  6. Step 6: Final answer
    x = 2,505.59

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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.