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Finding the Fourth Proportional to 1,619.60, 2,204.96 and 1,605.20

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Solution

The fourth proportional to 1,619.60, 2,204.96 and 1,605.20 is: 2,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.60 : 2,204.96 = 1,605.20 : x
  2. Step 2: Convert to fraction form
    1,619.60/2,204.96 = 1,605.20/x
  3. Step 3: Cross multiply
    1,619.60x = 2,204.96 × 1,605.20
  4. Step 4: Simplify right side
    1,619.60x = 3,539,401.79
  5. Step 5: Solve for x
    x = 3,539,401.79/1,619.60
  6. Step 6: Final answer
    x = 2,185.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.