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Finding the Fourth Proportional to 2,311.98, 3,467.16 and 924.95

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Solution

The fourth proportional to 2,311.98, 3,467.16 and 924.95 is: 1,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.98 : 3,467.16 = 924.95 : x
  2. Step 2: Convert to fraction form
    2,311.98/3,467.16 = 924.95/x
  3. Step 3: Cross multiply
    2,311.98x = 3,467.16 × 924.95
  4. Step 4: Simplify right side
    2,311.98x = 3,206,958.31
  5. Step 5: Solve for x
    x = 3,206,958.31/2,311.98
  6. Step 6: Final answer
    x = 1,387.11

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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.