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Finding the Fourth Proportional to 1,797.36, 2,692.57 and 1,384.47

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Solution

The fourth proportional to 1,797.36, 2,692.57 and 1,384.47 is: 2,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.36 : 2,692.57 = 1,384.47 : x
  2. Step 2: Convert to fraction form
    1,797.36/2,692.57 = 1,384.47/x
  3. Step 3: Cross multiply
    1,797.36x = 2,692.57 × 1,384.47
  4. Step 4: Simplify right side
    1,797.36x = 3,727,795.86
  5. Step 5: Solve for x
    x = 3,727,795.86/1,797.36
  6. Step 6: Final answer
    x = 2,074.05

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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.