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Finding the Fourth Proportional to 2,758.08, 4,137.12 and 810.28

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Solution

The fourth proportional to 2,758.08, 4,137.12 and 810.28 is: 1,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.08 : 4,137.12 = 810.28 : x
  2. Step 2: Convert to fraction form
    2,758.08/4,137.12 = 810.28/x
  3. Step 3: Cross multiply
    2,758.08x = 4,137.12 × 810.28
  4. Step 4: Simplify right side
    2,758.08x = 3,352,228.49
  5. Step 5: Solve for x
    x = 3,352,228.49/2,758.08
  6. Step 6: Final answer
    x = 1,215.42

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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.