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Finding the Fourth Proportional to 1,609.88, 2,226.30 and 1,580.72

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Solution

The fourth proportional to 1,609.88, 2,226.30 and 1,580.72 is: 2,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.88 : 2,226.30 = 1,580.72 : x
  2. Step 2: Convert to fraction form
    1,609.88/2,226.30 = 1,580.72/x
  3. Step 3: Cross multiply
    1,609.88x = 2,226.30 × 1,580.72
  4. Step 4: Simplify right side
    1,609.88x = 3,519,156.94
  5. Step 5: Solve for x
    x = 3,519,156.94/1,609.88
  6. Step 6: Final answer
    x = 2,185.97

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