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Finding the Fourth Proportional to 1,797.29, 2,692.98 and 1,728.93

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Solution

The fourth proportional to 1,797.29, 2,692.98 and 1,728.93 is: 2,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.29 : 2,692.98 = 1,728.93 : x
  2. Step 2: Convert to fraction form
    1,797.29/2,692.98 = 1,728.93/x
  3. Step 3: Cross multiply
    1,797.29x = 2,692.98 × 1,728.93
  4. Step 4: Simplify right side
    1,797.29x = 4,655,973.91
  5. Step 5: Solve for x
    x = 4,655,973.91/1,797.29
  6. Step 6: Final answer
    x = 2,590.56

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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.