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Finding the Fourth Proportional to 2,758.70, 4,138.23 and 811.10

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Solution

The fourth proportional to 2,758.70, 4,138.23 and 811.10 is: 1,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.70 : 4,138.23 = 811.10 : x
  2. Step 2: Convert to fraction form
    2,758.70/4,138.23 = 811.10/x
  3. Step 3: Cross multiply
    2,758.70x = 4,138.23 × 811.10
  4. Step 4: Simplify right side
    2,758.70x = 3,356,518.35
  5. Step 5: Solve for x
    x = 3,356,518.35/2,758.70
  6. Step 6: Final answer
    x = 1,216.70

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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.