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Finding the Fourth Proportional to 1,731.11, 2,596.64 and 806.15

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Solution

The fourth proportional to 1,731.11, 2,596.64 and 806.15 is: 1,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.11 : 2,596.64 = 806.15 : x
  2. Step 2: Convert to fraction form
    1,731.11/2,596.64 = 806.15/x
  3. Step 3: Cross multiply
    1,731.11x = 2,596.64 × 806.15
  4. Step 4: Simplify right side
    1,731.11x = 2,093,281.34
  5. Step 5: Solve for x
    x = 2,093,281.34/1,731.11
  6. Step 6: Final answer
    x = 1,209.21

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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.