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Finding the Fourth Proportional to 2,310.85, 3,467.95 and 905.48

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Solution

The fourth proportional to 2,310.85, 3,467.95 and 905.48 is: 1,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.85 : 3,467.95 = 905.48 : x
  2. Step 2: Convert to fraction form
    2,310.85/3,467.95 = 905.48/x
  3. Step 3: Cross multiply
    2,310.85x = 3,467.95 × 905.48
  4. Step 4: Simplify right side
    2,310.85x = 3,140,159.37
  5. Step 5: Solve for x
    x = 3,140,159.37/2,310.85
  6. Step 6: Final answer
    x = 1,358.88

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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.