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Finding the Fourth Proportional to 2,069.16, 3,104.08 and 836.48

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Solution

The fourth proportional to 2,069.16, 3,104.08 and 836.48 is: 1,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.16 : 3,104.08 = 836.48 : x
  2. Step 2: Convert to fraction form
    2,069.16/3,104.08 = 836.48/x
  3. Step 3: Cross multiply
    2,069.16x = 3,104.08 × 836.48
  4. Step 4: Simplify right side
    2,069.16x = 2,596,500.84
  5. Step 5: Solve for x
    x = 2,596,500.84/2,069.16
  6. Step 6: Final answer
    x = 1,254.86

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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.