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Finding the Fourth Proportional to 1,694.80, 2,538.15 and 828.10

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Solution

The fourth proportional to 1,694.80, 2,538.15 and 828.10 is: 1,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.80 : 2,538.15 = 828.10 : x
  2. Step 2: Convert to fraction form
    1,694.80/2,538.15 = 828.10/x
  3. Step 3: Cross multiply
    1,694.80x = 2,538.15 × 828.10
  4. Step 4: Simplify right side
    1,694.80x = 2,101,842.02
  5. Step 5: Solve for x
    x = 2,101,842.02/1,694.80
  6. Step 6: Final answer
    x = 1,240.17

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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.