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Finding the Fourth Proportional to 1,731.86, 2,596.76 and 692.03

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Solution

The fourth proportional to 1,731.86, 2,596.76 and 692.03 is: 1,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.86 : 2,596.76 = 692.03 : x
  2. Step 2: Convert to fraction form
    1,731.86/2,596.76 = 692.03/x
  3. Step 3: Cross multiply
    1,731.86x = 2,596.76 × 692.03
  4. Step 4: Simplify right side
    1,731.86x = 1,797,026.84
  5. Step 5: Solve for x
    x = 1,797,026.84/1,731.86
  6. Step 6: Final answer
    x = 1,037.63

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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.