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Finding the Fourth Proportional to 1,788.48, 2,692.44 and 1,609.88

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Solution

The fourth proportional to 1,788.48, 2,692.44 and 1,609.88 is: 2,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.48 : 2,692.44 = 1,609.88 : x
  2. Step 2: Convert to fraction form
    1,788.48/2,692.44 = 1,609.88/x
  3. Step 3: Cross multiply
    1,788.48x = 2,692.44 × 1,609.88
  4. Step 4: Simplify right side
    1,788.48x = 4,334,491.85
  5. Step 5: Solve for x
    x = 4,334,491.85/1,788.48
  6. Step 6: Final answer
    x = 2,423.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.