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Finding the Fourth Proportional to 1,920.08, 2,653.80 and 1,692.56

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Solution

The fourth proportional to 1,920.08, 2,653.80 and 1,692.56 is: 2,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.08 : 2,653.80 = 1,692.56 : x
  2. Step 2: Convert to fraction form
    1,920.08/2,653.80 = 1,692.56/x
  3. Step 3: Cross multiply
    1,920.08x = 2,653.80 × 1,692.56
  4. Step 4: Simplify right side
    1,920.08x = 4,491,715.73
  5. Step 5: Solve for x
    x = 4,491,715.73/1,920.08
  6. Step 6: Final answer
    x = 2,339.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.