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Finding the Fourth Proportional to 2,694.80, 4,051.20 and 2,338.40

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Solution

The fourth proportional to 2,694.80, 4,051.20 and 2,338.40 is: 3,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.80 : 4,051.20 = 2,338.40 : x
  2. Step 2: Convert to fraction form
    2,694.80/4,051.20 = 2,338.40/x
  3. Step 3: Cross multiply
    2,694.80x = 4,051.20 × 2,338.40
  4. Step 4: Simplify right side
    2,694.80x = 9,473,326.08
  5. Step 5: Solve for x
    x = 9,473,326.08/2,694.80
  6. Step 6: Final answer
    x = 3,515.41

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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.