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Finding the Fourth Proportional to 1,731.63, 2,597.41 and 806.67

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Solution

The fourth proportional to 1,731.63, 2,597.41 and 806.67 is: 1,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.63 : 2,597.41 = 806.67 : x
  2. Step 2: Convert to fraction form
    1,731.63/2,597.41 = 806.67/x
  3. Step 3: Cross multiply
    1,731.63x = 2,597.41 × 806.67
  4. Step 4: Simplify right side
    1,731.63x = 2,095,252.72
  5. Step 5: Solve for x
    x = 2,095,252.72/1,731.63
  6. Step 6: Final answer
    x = 1,209.99

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1.5x scale

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.